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Finding the Fourth Proportional to 13,708.47, 18,916.54 and 8,042.62

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Solution

The fourth proportional to 13,708.47, 18,916.54 and 8,042.62 is: 11,098.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,708.47 : 18,916.54 = 8,042.62 : x
  2. Step 2: Convert to fraction form
    13,708.47/18,916.54 = 8,042.62/x
  3. Step 3: Cross multiply
    13,708.47x = 18,916.54 × 8,042.62
  4. Step 4: Simplify right side
    13,708.47x = 152,138,542.93
  5. Step 5: Solve for x
    x = 152,138,542.93/13,708.47
  6. Step 6: Final answer
    x = 11,098.14

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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.