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Finding the Fourth Proportional to 25,472.92, 38,202 and 10,681.44

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Solution

The fourth proportional to 25,472.92, 38,202 and 10,681.44 is: 16,019.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,472.92 : 38,202 = 10,681.44 : x
  2. Step 2: Convert to fraction form
    25,472.92/38,202 = 10,681.44/x
  3. Step 3: Cross multiply
    25,472.92x = 38,202 × 10,681.44
  4. Step 4: Simplify right side
    25,472.92x = 408,052,370.88
  5. Step 5: Solve for x
    x = 408,052,370.88/25,472.92
  6. Step 6: Final answer
    x = 16,019.07

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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.