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Finding the Fourth Proportional to 24,423.38, 33,705.68 and 13,668.16

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Solution

The fourth proportional to 24,423.38, 33,705.68 and 13,668.16 is: 18,862.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,423.38 : 33,705.68 = 13,668.16 : x
  2. Step 2: Convert to fraction form
    24,423.38/33,705.68 = 13,668.16/x
  3. Step 3: Cross multiply
    24,423.38x = 33,705.68 × 13,668.16
  4. Step 4: Simplify right side
    24,423.38x = 460,694,474.54
  5. Step 5: Solve for x
    x = 460,694,474.54/24,423.38
  6. Step 6: Final answer
    x = 18,862.85

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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.