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Finding the Fourth Proportional to 25,254.66, 37,882.08 and 7,724.46

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Solution

The fourth proportional to 25,254.66, 37,882.08 and 7,724.46 is: 11,586.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,254.66 : 37,882.08 = 7,724.46 : x
  2. Step 2: Convert to fraction form
    25,254.66/37,882.08 = 7,724.46/x
  3. Step 3: Cross multiply
    25,254.66x = 37,882.08 × 7,724.46
  4. Step 4: Simplify right side
    25,254.66x = 292,618,611.68
  5. Step 5: Solve for x
    x = 292,618,611.68/25,254.66
  6. Step 6: Final answer
    x = 11,586.72

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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.