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Finding the Fourth Proportional to 16,540.80, 22,806.24 and 12,341.76

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Solution

The fourth proportional to 16,540.80, 22,806.24 and 12,341.76 is: 17,016.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,540.80 : 22,806.24 = 12,341.76 : x
  2. Step 2: Convert to fraction form
    16,540.80/22,806.24 = 12,341.76/x
  3. Step 3: Cross multiply
    16,540.80x = 22,806.24 × 12,341.76
  4. Step 4: Simplify right side
    16,540.80x = 281,469,140.58
  5. Step 5: Solve for x
    x = 281,469,140.58/16,540.80
  6. Step 6: Final answer
    x = 17,016.66

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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.