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Finding the Fourth Proportional to 29,502.24, 44,254.32 and 9,781.92

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Solution

The fourth proportional to 29,502.24, 44,254.32 and 9,781.92 is: 14,673.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,502.24 : 44,254.32 = 9,781.92 : x
  2. Step 2: Convert to fraction form
    29,502.24/44,254.32 = 9,781.92/x
  3. Step 3: Cross multiply
    29,502.24x = 44,254.32 × 9,781.92
  4. Step 4: Simplify right side
    29,502.24x = 432,892,217.89
  5. Step 5: Solve for x
    x = 432,892,217.89/29,502.24
  6. Step 6: Final answer
    x = 14,673.20

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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.