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Finding the Fourth Proportional to 17,401.86, 24,013.13 and 9,847.80

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Solution

The fourth proportional to 17,401.86, 24,013.13 and 9,847.80 is: 13,589.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,401.86 : 24,013.13 = 9,847.80 : x
  2. Step 2: Convert to fraction form
    17,401.86/24,013.13 = 9,847.80/x
  3. Step 3: Cross multiply
    17,401.86x = 24,013.13 × 9,847.80
  4. Step 4: Simplify right side
    17,401.86x = 236,476,452.38
  5. Step 5: Solve for x
    x = 236,476,452.38/17,401.86
  6. Step 6: Final answer
    x = 13,589.15

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Half scale
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Double scale
Find fourth proportional to 17,402.86, 24,014.50 and 9,848.80
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.