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Finding the Fourth Proportional to 29,074.71, 43,614.45 and 12,434.88

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Solution

The fourth proportional to 29,074.71, 43,614.45 and 12,434.88 is: 18,653.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,074.71 : 43,614.45 = 12,434.88 : x
  2. Step 2: Convert to fraction form
    29,074.71/43,614.45 = 12,434.88/x
  3. Step 3: Cross multiply
    29,074.71x = 43,614.45 × 12,434.88
  4. Step 4: Simplify right side
    29,074.71x = 542,340,452.02
  5. Step 5: Solve for x
    x = 542,340,452.02/29,074.71
  6. Step 6: Final answer
    x = 18,653.34

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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.