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Finding the Fourth Proportional to 25,408.96, 38,116.98 and 10,614.52

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Solution

The fourth proportional to 25,408.96, 38,116.98 and 10,614.52 is: 15,923.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,408.96 : 38,116.98 = 10,614.52 : x
  2. Step 2: Convert to fraction form
    25,408.96/38,116.98 = 10,614.52/x
  3. Step 3: Cross multiply
    25,408.96x = 38,116.98 × 10,614.52
  4. Step 4: Simplify right side
    25,408.96x = 404,593,446.55
  5. Step 5: Solve for x
    x = 404,593,446.55/25,408.96
  6. Step 6: Final answer
    x = 15,923.26

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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.