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Finding the Fourth Proportional to 24,916.50, 34,387.20 and 13,738.50

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Solution

The fourth proportional to 24,916.50, 34,387.20 and 13,738.50 is: 18,960.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,916.50 : 34,387.20 = 13,738.50 : x
  2. Step 2: Convert to fraction form
    24,916.50/34,387.20 = 13,738.50/x
  3. Step 3: Cross multiply
    24,916.50x = 34,387.20 × 13,738.50
  4. Step 4: Simplify right side
    24,916.50x = 472,428,547.20
  5. Step 5: Solve for x
    x = 472,428,547.20/24,916.50
  6. Step 6: Final answer
    x = 18,960.47

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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.