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Finding the Fourth Proportional to 25,471.20, 38,198.14 and 8,827.34

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Solution

The fourth proportional to 25,471.20, 38,198.14 and 8,827.34 is: 13,238.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,471.20 : 38,198.14 = 8,827.34 : x
  2. Step 2: Convert to fraction form
    25,471.20/38,198.14 = 8,827.34/x
  3. Step 3: Cross multiply
    25,471.20x = 38,198.14 × 8,827.34
  4. Step 4: Simplify right side
    25,471.20x = 337,187,873.65
  5. Step 5: Solve for x
    x = 337,187,873.65/25,471.20
  6. Step 6: Final answer
    x = 13,238.01

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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.