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Finding the Fourth Proportional to 25,414.79, 38,125.86 and 9,615.54

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Solution

The fourth proportional to 25,414.79, 38,125.86 and 9,615.54 is: 14,424.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,414.79 : 38,125.86 = 9,615.54 : x
  2. Step 2: Convert to fraction form
    25,414.79/38,125.86 = 9,615.54/x
  3. Step 3: Cross multiply
    25,414.79x = 38,125.86 × 9,615.54
  4. Step 4: Simplify right side
    25,414.79x = 366,600,731.86
  5. Step 5: Solve for x
    x = 366,600,731.86/25,414.79
  6. Step 6: Final answer
    x = 14,424.70

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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.