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Finding the Fourth Proportional to 24,221.89, 33,426.44 and 14,662

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Solution

The fourth proportional to 24,221.89, 33,426.44 and 14,662 is: 20,233.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,221.89 : 33,426.44 = 14,662 : x
  2. Step 2: Convert to fraction form
    24,221.89/33,426.44 = 14,662/x
  3. Step 3: Cross multiply
    24,221.89x = 33,426.44 × 14,662
  4. Step 4: Simplify right side
    24,221.89x = 490,098,463.28
  5. Step 5: Solve for x
    x = 490,098,463.28/24,221.89
  6. Step 6: Final answer
    x = 20,233.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.