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Finding the Fourth Proportional to 17,401.61, 24,012.78 and 9,847.55

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Solution

The fourth proportional to 17,401.61, 24,012.78 and 9,847.55 is: 13,588.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,401.61 : 24,012.78 = 9,847.55 : x
  2. Step 2: Convert to fraction form
    17,401.61/24,012.78 = 9,847.55/x
  3. Step 3: Cross multiply
    17,401.61x = 24,012.78 × 9,847.55
  4. Step 4: Simplify right side
    17,401.61x = 236,467,051.69
  5. Step 5: Solve for x
    x = 236,467,051.69/17,401.61
  6. Step 6: Final answer
    x = 13,588.80

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