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Finding the Fourth Proportional to 18,278.74, 27,432.96 and 9,516.16

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Solution

The fourth proportional to 18,278.74, 27,432.96 and 9,516.16 is: 14,281.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,278.74 : 27,432.96 = 9,516.16 : x
  2. Step 2: Convert to fraction form
    18,278.74/27,432.96 = 9,516.16/x
  3. Step 3: Cross multiply
    18,278.74x = 27,432.96 × 9,516.16
  4. Step 4: Simplify right side
    18,278.74x = 261,056,436.63
  5. Step 5: Solve for x
    x = 261,056,436.63/18,278.74
  6. Step 6: Final answer
    x = 14,281.97

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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.