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Finding the Fourth Proportional to 25,653.20, 38,425.92 and 16,288.42

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Solution

The fourth proportional to 25,653.20, 38,425.92 and 16,288.42 is: 24,398.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,653.20 : 38,425.92 = 16,288.42 : x
  2. Step 2: Convert to fraction form
    25,653.20/38,425.92 = 16,288.42/x
  3. Step 3: Cross multiply
    25,653.20x = 38,425.92 × 16,288.42
  4. Step 4: Simplify right side
    25,653.20x = 625,897,523.85
  5. Step 5: Solve for x
    x = 625,897,523.85/25,653.20
  6. Step 6: Final answer
    x = 24,398.42

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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.