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Finding the Fourth Proportional to 24,221.98, 33,426.48 and 14,658.70

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Solution

The fourth proportional to 24,221.98, 33,426.48 and 14,658.70 is: 20,229.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,221.98 : 33,426.48 = 14,658.70 : x
  2. Step 2: Convert to fraction form
    24,221.98/33,426.48 = 14,658.70/x
  3. Step 3: Cross multiply
    24,221.98x = 33,426.48 × 14,658.70
  4. Step 4: Simplify right side
    24,221.98x = 489,988,742.38
  5. Step 5: Solve for x
    x = 489,988,742.38/24,221.98
  6. Step 6: Final answer
    x = 20,229.10

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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.