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Finding the Fourth Proportional to 25,471.38, 38,198.42 and 8,827.53

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Solution

The fourth proportional to 25,471.38, 38,198.42 and 8,827.53 is: 13,238.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,471.38 : 38,198.42 = 8,827.53 : x
  2. Step 2: Convert to fraction form
    25,471.38/38,198.42 = 8,827.53/x
  3. Step 3: Cross multiply
    25,471.38x = 38,198.42 × 8,827.53
  4. Step 4: Simplify right side
    25,471.38x = 337,197,698.50
  5. Step 5: Solve for x
    x = 337,197,698.50/25,471.38
  6. Step 6: Final answer
    x = 13,238.30

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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.