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Finding the Fourth Proportional to 22,780.56, 34,171.06 and 7,989.83

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Solution

The fourth proportional to 22,780.56, 34,171.06 and 7,989.83 is: 11,984.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,780.56 : 34,171.06 = 7,989.83 : x
  2. Step 2: Convert to fraction form
    22,780.56/34,171.06 = 7,989.83/x
  3. Step 3: Cross multiply
    22,780.56x = 34,171.06 × 7,989.83
  4. Step 4: Simplify right side
    22,780.56x = 273,020,854.92
  5. Step 5: Solve for x
    x = 273,020,854.92/22,780.56
  6. Step 6: Final answer
    x = 11,984.82

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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.