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Finding the Fourth Proportional to 15,123.78, 22,637.10 and 8,086.14

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Solution

The fourth proportional to 15,123.78, 22,637.10 and 8,086.14 is: 12,103.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,123.78 : 22,637.10 = 8,086.14 : x
  2. Step 2: Convert to fraction form
    15,123.78/22,637.10 = 8,086.14/x
  3. Step 3: Cross multiply
    15,123.78x = 22,637.10 × 8,086.14
  4. Step 4: Simplify right side
    15,123.78x = 183,046,759.79
  5. Step 5: Solve for x
    x = 183,046,759.79/15,123.78
  6. Step 6: Final answer
    x = 12,103.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.