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Finding the Fourth Proportional to 13,760.31, 18,988.92 and 7,792.23

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Solution

The fourth proportional to 13,760.31, 18,988.92 and 7,792.23 is: 10,753.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,760.31 : 18,988.92 = 7,792.23 : x
  2. Step 2: Convert to fraction form
    13,760.31/18,988.92 = 7,792.23/x
  3. Step 3: Cross multiply
    13,760.31x = 18,988.92 × 7,792.23
  4. Step 4: Simplify right side
    13,760.31x = 147,966,032.09
  5. Step 5: Solve for x
    x = 147,966,032.09/13,760.31
  6. Step 6: Final answer
    x = 10,753.10

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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.