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Finding the Fourth Proportional to 25,408.89, 38,106.45 and 10,614.71

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Solution

The fourth proportional to 25,408.89, 38,106.45 and 10,614.71 is: 15,919.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,408.89 : 38,106.45 = 10,614.71 : x
  2. Step 2: Convert to fraction form
    25,408.89/38,106.45 = 10,614.71/x
  3. Step 3: Cross multiply
    25,408.89x = 38,106.45 × 10,614.71
  4. Step 4: Simplify right side
    25,408.89x = 404,489,011.15
  5. Step 5: Solve for x
    x = 404,489,011.15/25,408.89
  6. Step 6: Final answer
    x = 15,919.19

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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.