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Finding the Fourth Proportional to 24,142, 33,317.88 and 14,207.92

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Solution

The fourth proportional to 24,142, 33,317.88 and 14,207.92 is: 19,608.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,142 : 33,317.88 = 14,207.92 : x
  2. Step 2: Convert to fraction form
    24,142/33,317.88 = 14,207.92/x
  3. Step 3: Cross multiply
    24,142x = 33,317.88 × 14,207.92
  4. Step 4: Simplify right side
    24,142x = 473,377,773.61
  5. Step 5: Solve for x
    x = 473,377,773.61/24,142
  6. Step 6: Final answer
    x = 19,608.06

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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.