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Finding the Fourth Proportional to 25,728.94, 38,575.18 and 9,920.57

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Solution

The fourth proportional to 25,728.94, 38,575.18 and 9,920.57 is: 14,873.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,728.94 : 38,575.18 = 9,920.57 : x
  2. Step 2: Convert to fraction form
    25,728.94/38,575.18 = 9,920.57/x
  3. Step 3: Cross multiply
    25,728.94x = 38,575.18 × 9,920.57
  4. Step 4: Simplify right side
    25,728.94x = 382,687,723.85
  5. Step 5: Solve for x
    x = 382,687,723.85/25,728.94
  6. Step 6: Final answer
    x = 14,873.83

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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.