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Finding the Fourth Proportional to 29,254.68, 43,882.56 and 8,478

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Solution

The fourth proportional to 29,254.68, 43,882.56 and 8,478 is: 12,717.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,254.68 : 43,882.56 = 8,478 : x
  2. Step 2: Convert to fraction form
    29,254.68/43,882.56 = 8,478/x
  3. Step 3: Cross multiply
    29,254.68x = 43,882.56 × 8,478
  4. Step 4: Simplify right side
    29,254.68x = 372,036,343.68
  5. Step 5: Solve for x
    x = 372,036,343.68/29,254.68
  6. Step 6: Final answer
    x = 12,717.16

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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.