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Finding the Fourth Proportional to 22,065.47, 33,089.45 and 8,017.83

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Solution

The fourth proportional to 22,065.47, 33,089.45 and 8,017.83 is: 12,023.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,065.47 : 33,089.45 = 8,017.83 : x
  2. Step 2: Convert to fraction form
    22,065.47/33,089.45 = 8,017.83/x
  3. Step 3: Cross multiply
    22,065.47x = 33,089.45 × 8,017.83
  4. Step 4: Simplify right side
    22,065.47x = 265,305,584.89
  5. Step 5: Solve for x
    x = 265,305,584.89/22,065.47
  6. Step 6: Final answer
    x = 12,023.56

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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.