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Finding the Fourth Proportional to 29,380.72, 44,073.84 and 9,659.32

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Solution

The fourth proportional to 29,380.72, 44,073.84 and 9,659.32 is: 14,489.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,380.72 : 44,073.84 = 9,659.32 : x
  2. Step 2: Convert to fraction form
    29,380.72/44,073.84 = 9,659.32/x
  3. Step 3: Cross multiply
    29,380.72x = 44,073.84 × 9,659.32
  4. Step 4: Simplify right side
    29,380.72x = 425,723,324.19
  5. Step 5: Solve for x
    x = 425,723,324.19/29,380.72
  6. Step 6: Final answer
    x = 14,489.89

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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.