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Finding the Fourth Proportional to 21,205.80, 31,743.90 and 16,540.20

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Solution

The fourth proportional to 21,205.80, 31,743.90 and 16,540.20 is: 24,759.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,205.80 : 31,743.90 = 16,540.20 : x
  2. Step 2: Convert to fraction form
    21,205.80/31,743.90 = 16,540.20/x
  3. Step 3: Cross multiply
    21,205.80x = 31,743.90 × 16,540.20
  4. Step 4: Simplify right side
    21,205.80x = 525,050,454.78
  5. Step 5: Solve for x
    x = 525,050,454.78/21,205.80
  6. Step 6: Final answer
    x = 24,759.76

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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.