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Finding the Fourth Proportional to 18,513.46, 27,705.59 and 15,142.74

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Solution

The fourth proportional to 18,513.46, 27,705.59 and 15,142.74 is: 22,661.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,513.46 : 27,705.59 = 15,142.74 : x
  2. Step 2: Convert to fraction form
    18,513.46/27,705.59 = 15,142.74/x
  3. Step 3: Cross multiply
    18,513.46x = 27,705.59 × 15,142.74
  4. Step 4: Simplify right side
    18,513.46x = 419,538,545.92
  5. Step 5: Solve for x
    x = 419,538,545.92/18,513.46
  6. Step 6: Final answer
    x = 22,661.27

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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.