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Finding the Fourth Proportional to 22,206.78, 33,323.28 and 8,176.64

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Solution

The fourth proportional to 22,206.78, 33,323.28 and 8,176.64 is: 12,269.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,206.78 : 33,323.28 = 8,176.64 : x
  2. Step 2: Convert to fraction form
    22,206.78/33,323.28 = 8,176.64/x
  3. Step 3: Cross multiply
    22,206.78x = 33,323.28 × 8,176.64
  4. Step 4: Simplify right side
    22,206.78x = 272,472,464.18
  5. Step 5: Solve for x
    x = 272,472,464.18/22,206.78
  6. Step 6: Final answer
    x = 12,269.79

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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.