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Finding the Fourth Proportional to 24,535.38, 33,863.24 and 14,463.22

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Solution

The fourth proportional to 24,535.38, 33,863.24 and 14,463.22 is: 19,961.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,535.38 : 33,863.24 = 14,463.22 : x
  2. Step 2: Convert to fraction form
    24,535.38/33,863.24 = 14,463.22/x
  3. Step 3: Cross multiply
    24,535.38x = 33,863.24 × 14,463.22
  4. Step 4: Simplify right side
    24,535.38x = 489,771,490.03
  5. Step 5: Solve for x
    x = 489,771,490.03/24,535.38
  6. Step 6: Final answer
    x = 19,961.85

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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.