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Finding the Fourth Proportional to 24,255.29, 33,472.17 and 13,645

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Solution

The fourth proportional to 24,255.29, 33,472.17 and 13,645 is: 18,830.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,255.29 : 33,472.17 = 13,645 : x
  2. Step 2: Convert to fraction form
    24,255.29/33,472.17 = 13,645/x
  3. Step 3: Cross multiply
    24,255.29x = 33,472.17 × 13,645
  4. Step 4: Simplify right side
    24,255.29x = 456,727,759.65
  5. Step 5: Solve for x
    x = 456,727,759.65/24,255.29
  6. Step 6: Final answer
    x = 18,830.03

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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.