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Finding the Fourth Proportional to 25,658.28, 38,491.38 and 8,132.13

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Solution

The fourth proportional to 25,658.28, 38,491.38 and 8,132.13 is: 12,199.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,658.28 : 38,491.38 = 8,132.13 : x
  2. Step 2: Convert to fraction form
    25,658.28/38,491.38 = 8,132.13/x
  3. Step 3: Cross multiply
    25,658.28x = 38,491.38 × 8,132.13
  4. Step 4: Simplify right side
    25,658.28x = 313,016,906.04
  5. Step 5: Solve for x
    x = 313,016,906.04/25,658.28
  6. Step 6: Final answer
    x = 12,199.45

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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.