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Finding the Fourth Proportional to 25,931.36, 38,902.14 and 9,286.92

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Solution

The fourth proportional to 25,931.36, 38,902.14 and 9,286.92 is: 13,932.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,931.36 : 38,902.14 = 9,286.92 : x
  2. Step 2: Convert to fraction form
    25,931.36/38,902.14 = 9,286.92/x
  3. Step 3: Cross multiply
    25,931.36x = 38,902.14 × 9,286.92
  4. Step 4: Simplify right side
    25,931.36x = 361,281,062.01
  5. Step 5: Solve for x
    x = 361,281,062.01/25,931.36
  6. Step 6: Final answer
    x = 13,932.21

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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.