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Finding the Fourth Proportional to 20,654.10, 30,981.42 and 8,168.76

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Solution

The fourth proportional to 20,654.10, 30,981.42 and 8,168.76 is: 12,253.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,654.10 : 30,981.42 = 8,168.76 : x
  2. Step 2: Convert to fraction form
    20,654.10/30,981.42 = 8,168.76/x
  3. Step 3: Cross multiply
    20,654.10x = 30,981.42 × 8,168.76
  4. Step 4: Simplify right side
    20,654.10x = 253,079,784.44
  5. Step 5: Solve for x
    x = 253,079,784.44/20,654.10
  6. Step 6: Final answer
    x = 12,253.25

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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.