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Finding the Fourth Proportional to 22,281.78, 33,387.51 and 8,222.46

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Solution

The fourth proportional to 22,281.78, 33,387.51 and 8,222.46 is: 12,320.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,281.78 : 33,387.51 = 8,222.46 : x
  2. Step 2: Convert to fraction form
    22,281.78/33,387.51 = 8,222.46/x
  3. Step 3: Cross multiply
    22,281.78x = 33,387.51 × 8,222.46
  4. Step 4: Simplify right side
    22,281.78x = 274,527,465.47
  5. Step 5: Solve for x
    x = 274,527,465.47/22,281.78
  6. Step 6: Final answer
    x = 12,320.72

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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.