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Finding the Fourth Proportional to 15,123.84, 22,637.10 and 8,086.26

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Solution

The fourth proportional to 15,123.84, 22,637.10 and 8,086.26 is: 12,103.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,123.84 : 22,637.10 = 8,086.26 : x
  2. Step 2: Convert to fraction form
    15,123.84/22,637.10 = 8,086.26/x
  3. Step 3: Cross multiply
    15,123.84x = 22,637.10 × 8,086.26
  4. Step 4: Simplify right side
    15,123.84x = 183,049,476.25
  5. Step 5: Solve for x
    x = 183,049,476.25/15,123.84
  6. Step 6: Final answer
    x = 12,103.37

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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.