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Finding the Fourth Proportional to 20,678.60, 31,021.68 and 8,991.92

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Solution

The fourth proportional to 20,678.60, 31,021.68 and 8,991.92 is: 13,489.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,678.60 : 31,021.68 = 8,991.92 : x
  2. Step 2: Convert to fraction form
    20,678.60/31,021.68 = 8,991.92/x
  3. Step 3: Cross multiply
    20,678.60x = 31,021.68 × 8,991.92
  4. Step 4: Simplify right side
    20,678.60x = 278,944,464.83
  5. Step 5: Solve for x
    x = 278,944,464.83/20,678.60
  6. Step 6: Final answer
    x = 13,489.52

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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.