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Finding the Fourth Proportional to 20,540.52, 28,353.18 and 12,157

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Solution

The fourth proportional to 20,540.52, 28,353.18 and 12,157 is: 16,780.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,540.52 : 28,353.18 = 12,157 : x
  2. Step 2: Convert to fraction form
    20,540.52/28,353.18 = 12,157/x
  3. Step 3: Cross multiply
    20,540.52x = 28,353.18 × 12,157
  4. Step 4: Simplify right side
    20,540.52x = 344,689,609.26
  5. Step 5: Solve for x
    x = 344,689,609.26/20,540.52
  6. Step 6: Final answer
    x = 16,780.96

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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.