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Finding the Fourth Proportional to 25,254.75, 37,882.14 and 9,672.78

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Solution

The fourth proportional to 25,254.75, 37,882.14 and 9,672.78 is: 14,509.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,254.75 : 37,882.14 = 9,672.78 : x
  2. Step 2: Convert to fraction form
    25,254.75/37,882.14 = 9,672.78/x
  3. Step 3: Cross multiply
    25,254.75x = 37,882.14 × 9,672.78
  4. Step 4: Simplify right side
    25,254.75x = 366,425,606.15
  5. Step 5: Solve for x
    x = 366,425,606.15/25,254.75
  6. Step 6: Final answer
    x = 14,509.18

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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.