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Finding the Fourth Proportional to 25,732.20, 38,596.84 and 9,934.16

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Solution

The fourth proportional to 25,732.20, 38,596.84 and 9,934.16 is: 14,900.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,732.20 : 38,596.84 = 9,934.16 : x
  2. Step 2: Convert to fraction form
    25,732.20/38,596.84 = 9,934.16/x
  3. Step 3: Cross multiply
    25,732.20x = 38,596.84 × 9,934.16
  4. Step 4: Simplify right side
    25,732.20x = 383,427,184.05
  5. Step 5: Solve for x
    x = 383,427,184.05/25,732.20
  6. Step 6: Final answer
    x = 14,900.68

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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.