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Finding the Fourth Proportional to 38,609.80, 57,896.15 and 16,411.14

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Solution

The fourth proportional to 38,609.80, 57,896.15 and 16,411.14 is: 24,608.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,609.80 : 57,896.15 = 16,411.14 : x
  2. Step 2: Convert to fraction form
    38,609.80/57,896.15 = 16,411.14/x
  3. Step 3: Cross multiply
    38,609.80x = 57,896.15 × 16,411.14
  4. Step 4: Simplify right side
    38,609.80x = 950,141,741.06
  5. Step 5: Solve for x
    x = 950,141,741.06/38,609.80
  6. Step 6: Final answer
    x = 24,608.82

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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.