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Finding the Fourth Proportional to 20,149.81, 30,214.28 and 9,046.94

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Solution

The fourth proportional to 20,149.81, 30,214.28 and 9,046.94 is: 13,565.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,149.81 : 30,214.28 = 9,046.94 : x
  2. Step 2: Convert to fraction form
    20,149.81/30,214.28 = 9,046.94/x
  3. Step 3: Cross multiply
    20,149.81x = 30,214.28 × 9,046.94
  4. Step 4: Simplify right side
    20,149.81x = 273,346,778.30
  5. Step 5: Solve for x
    x = 273,346,778.30/20,149.81
  6. Step 6: Final answer
    x = 13,565.72

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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.