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Finding the Fourth Proportional to 20,480.40, 30,691.74 and 16,301.82

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Solution

The fourth proportional to 20,480.40, 30,691.74 and 16,301.82 is: 24,429.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,480.40 : 30,691.74 = 16,301.82 : x
  2. Step 2: Convert to fraction form
    20,480.40/30,691.74 = 16,301.82/x
  3. Step 3: Cross multiply
    20,480.40x = 30,691.74 × 16,301.82
  4. Step 4: Simplify right side
    20,480.40x = 500,331,220.97
  5. Step 5: Solve for x
    x = 500,331,220.97/20,480.40
  6. Step 6: Final answer
    x = 24,429.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.