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Finding the Fourth Proportional to 25,932.61, 38,904.02 and 9,288.16

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Solution

The fourth proportional to 25,932.61, 38,904.02 and 9,288.16 is: 13,934.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,932.61 : 38,904.02 = 9,288.16 : x
  2. Step 2: Convert to fraction form
    25,932.61/38,904.02 = 9,288.16/x
  3. Step 3: Cross multiply
    25,932.61x = 38,904.02 × 9,288.16
  4. Step 4: Simplify right side
    25,932.61x = 361,346,715.96
  5. Step 5: Solve for x
    x = 361,346,715.96/25,932.61
  6. Step 6: Final answer
    x = 13,934.07

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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.