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Finding the Fourth Proportional to 17,711.62, 24,441.78 and 9,753.85

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Solution

The fourth proportional to 17,711.62, 24,441.78 and 9,753.85 is: 13,460.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,711.62 : 24,441.78 = 9,753.85 : x
  2. Step 2: Convert to fraction form
    17,711.62/24,441.78 = 9,753.85/x
  3. Step 3: Cross multiply
    17,711.62x = 24,441.78 × 9,753.85
  4. Step 4: Simplify right side
    17,711.62x = 238,401,389.13
  5. Step 5: Solve for x
    x = 238,401,389.13/17,711.62
  6. Step 6: Final answer
    x = 13,460.17

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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.