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Finding the Fourth Proportional to 20,182.83, 30,281.93 and 9,086.97

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Solution

The fourth proportional to 20,182.83, 30,281.93 and 9,086.97 is: 13,633.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,182.83 : 30,281.93 = 9,086.97 : x
  2. Step 2: Convert to fraction form
    20,182.83/30,281.93 = 9,086.97/x
  3. Step 3: Cross multiply
    20,182.83x = 30,281.93 × 9,086.97
  4. Step 4: Simplify right side
    20,182.83x = 275,170,898.61
  5. Step 5: Solve for x
    x = 275,170,898.61/20,182.83
  6. Step 6: Final answer
    x = 13,633.91

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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.