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Finding the Fourth Proportional to 20,006.25, 30,027.57 and 10,654.11

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Solution

The fourth proportional to 20,006.25, 30,027.57 and 10,654.11 is: 15,990.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,006.25 : 30,027.57 = 10,654.11 : x
  2. Step 2: Convert to fraction form
    20,006.25/30,027.57 = 10,654.11/x
  3. Step 3: Cross multiply
    20,006.25x = 30,027.57 × 10,654.11
  4. Step 4: Simplify right side
    20,006.25x = 319,917,033.81
  5. Step 5: Solve for x
    x = 319,917,033.81/20,006.25
  6. Step 6: Final answer
    x = 15,990.85

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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.