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Finding the Fourth Proportional to 20,654.20, 31,005.60 and 20,508.40

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Solution

The fourth proportional to 20,654.20, 31,005.60 and 20,508.40 is: 30,786.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,654.20 : 31,005.60 = 20,508.40 : x
  2. Step 2: Convert to fraction form
    20,654.20/31,005.60 = 20,508.40/x
  3. Step 3: Cross multiply
    20,654.20x = 31,005.60 × 20,508.40
  4. Step 4: Simplify right side
    20,654.20x = 635,875,247.04
  5. Step 5: Solve for x
    x = 635,875,247.04/20,654.20
  6. Step 6: Final answer
    x = 30,786.73

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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.