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Finding the Fourth Proportional to 17,586.38, 24,269.21 and 9,629.12

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Solution

The fourth proportional to 17,586.38, 24,269.21 and 9,629.12 is: 13,288.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,586.38 : 24,269.21 = 9,629.12 : x
  2. Step 2: Convert to fraction form
    17,586.38/24,269.21 = 9,629.12/x
  3. Step 3: Cross multiply
    17,586.38x = 24,269.21 × 9,629.12
  4. Step 4: Simplify right side
    17,586.38x = 233,690,965.90
  5. Step 5: Solve for x
    x = 233,690,965.90/17,586.38
  6. Step 6: Final answer
    x = 13,288.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.