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Finding the Fourth Proportional to 22,382.78, 33,545.43 and 9,244.40

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Solution

The fourth proportional to 22,382.78, 33,545.43 and 9,244.40 is: 13,854.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,382.78 : 33,545.43 = 9,244.40 : x
  2. Step 2: Convert to fraction form
    22,382.78/33,545.43 = 9,244.40/x
  3. Step 3: Cross multiply
    22,382.78x = 33,545.43 × 9,244.40
  4. Step 4: Simplify right side
    22,382.78x = 310,107,373.09
  5. Step 5: Solve for x
    x = 310,107,373.09/22,382.78
  6. Step 6: Final answer
    x = 13,854.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.