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Finding the Fourth Proportional to 22,011.75, 33,022.49 and 8,160.75

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Solution

The fourth proportional to 22,011.75, 33,022.49 and 8,160.75 is: 12,242.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,011.75 : 33,022.49 = 8,160.75 : x
  2. Step 2: Convert to fraction form
    22,011.75/33,022.49 = 8,160.75/x
  3. Step 3: Cross multiply
    22,011.75x = 33,022.49 × 8,160.75
  4. Step 4: Simplify right side
    22,011.75x = 269,488,244.46
  5. Step 5: Solve for x
    x = 269,488,244.46/22,011.75
  6. Step 6: Final answer
    x = 12,242.93

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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.