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Finding the Fourth Proportional to 22,456.33, 33,684.81 and 10,766.81

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Solution

The fourth proportional to 22,456.33, 33,684.81 and 10,766.81 is: 16,150.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,456.33 : 33,684.81 = 10,766.81 : x
  2. Step 2: Convert to fraction form
    22,456.33/33,684.81 = 10,766.81/x
  3. Step 3: Cross multiply
    22,456.33x = 33,684.81 × 10,766.81
  4. Step 4: Simplify right side
    22,456.33x = 362,677,949.16
  5. Step 5: Solve for x
    x = 362,677,949.16/22,456.33
  6. Step 6: Final answer
    x = 16,150.37

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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.