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Finding the Fourth Proportional to 25,641.12, 38,462.22 and 8,115.96

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Solution

The fourth proportional to 25,641.12, 38,462.22 and 8,115.96 is: 12,174.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,641.12 : 38,462.22 = 8,115.96 : x
  2. Step 2: Convert to fraction form
    25,641.12/38,462.22 = 8,115.96/x
  3. Step 3: Cross multiply
    25,641.12x = 38,462.22 × 8,115.96
  4. Step 4: Simplify right side
    25,641.12x = 312,157,839.03
  5. Step 5: Solve for x
    x = 312,157,839.03/25,641.12
  6. Step 6: Final answer
    x = 12,174.11

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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.