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Finding the Fourth Proportional to 24,839.71, 34,279.02 and 13,509.30

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Solution

The fourth proportional to 24,839.71, 34,279.02 and 13,509.30 is: 18,642.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,839.71 : 34,279.02 = 13,509.30 : x
  2. Step 2: Convert to fraction form
    24,839.71/34,279.02 = 13,509.30/x
  3. Step 3: Cross multiply
    24,839.71x = 34,279.02 × 13,509.30
  4. Step 4: Simplify right side
    24,839.71x = 463,085,693.43
  5. Step 5: Solve for x
    x = 463,085,693.43/24,839.71
  6. Step 6: Final answer
    x = 18,642.96

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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.