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Finding the Fourth Proportional to 17,700.71, 24,423.87 and 10,627.29

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Solution

The fourth proportional to 17,700.71, 24,423.87 and 10,627.29 is: 14,663.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,700.71 : 24,423.87 = 10,627.29 : x
  2. Step 2: Convert to fraction form
    17,700.71/24,423.87 = 10,627.29/x
  3. Step 3: Cross multiply
    17,700.71x = 24,423.87 × 10,627.29
  4. Step 4: Simplify right side
    17,700.71x = 259,559,549.41
  5. Step 5: Solve for x
    x = 259,559,549.41/17,700.71
  6. Step 6: Final answer
    x = 14,663.80

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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.