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Finding the Fourth Proportional to 25,615.64, 38,414.20 and 10,825.71

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Solution

The fourth proportional to 25,615.64, 38,414.20 and 10,825.71 is: 16,234.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,615.64 : 38,414.20 = 10,825.71 : x
  2. Step 2: Convert to fraction form
    25,615.64/38,414.20 = 10,825.71/x
  3. Step 3: Cross multiply
    25,615.64x = 38,414.20 × 10,825.71
  4. Step 4: Simplify right side
    25,615.64x = 415,860,865.27
  5. Step 5: Solve for x
    x = 415,860,865.27/25,615.64
  6. Step 6: Final answer
    x = 16,234.65

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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.