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Finding the Fourth Proportional to 22,143, 33,164.82 and 17,197.68

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Solution

The fourth proportional to 22,143, 33,164.82 and 17,197.68 is: 25,757.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,143 : 33,164.82 = 17,197.68 : x
  2. Step 2: Convert to fraction form
    22,143/33,164.82 = 17,197.68/x
  3. Step 3: Cross multiply
    22,143x = 33,164.82 × 17,197.68
  4. Step 4: Simplify right side
    22,143x = 570,357,961.62
  5. Step 5: Solve for x
    x = 570,357,961.62/22,143
  6. Step 6: Final answer
    x = 25,757.94

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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.