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Finding the Fourth Proportional to 22,451.72, 33,680.00 and 6,870.56

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Solution

The fourth proportional to 22,451.72, 33,680.00 and 6,870.56 is: 10,306.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,451.72 : 33,680.00 = 6,870.56 : x
  2. Step 2: Convert to fraction form
    22,451.72/33,680.00 = 6,870.56/x
  3. Step 3: Cross multiply
    22,451.72x = 33,680.00 × 6,870.56
  4. Step 4: Simplify right side
    22,451.72x = 231,400,309.58
  5. Step 5: Solve for x
    x = 231,400,309.58/22,451.72
  6. Step 6: Final answer
    x = 10,306.58

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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.