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Finding the Fourth Proportional to 29,169.84, 43,763.16 and 9,447.96

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Solution

The fourth proportional to 29,169.84, 43,763.16 and 9,447.96 is: 14,174.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,169.84 : 43,763.16 = 9,447.96 : x
  2. Step 2: Convert to fraction form
    29,169.84/43,763.16 = 9,447.96/x
  3. Step 3: Cross multiply
    29,169.84x = 43,763.16 × 9,447.96
  4. Step 4: Simplify right side
    29,169.84x = 413,472,585.15
  5. Step 5: Solve for x
    x = 413,472,585.15/29,169.84
  6. Step 6: Final answer
    x = 14,174.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.