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Finding the Fourth Proportional to 22,543.80, 33,742.80 and 15,982.80

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Solution

The fourth proportional to 22,543.80, 33,742.80 and 15,982.80 is: 23,922.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,543.80 : 33,742.80 = 15,982.80 : x
  2. Step 2: Convert to fraction form
    22,543.80/33,742.80 = 15,982.80/x
  3. Step 3: Cross multiply
    22,543.80x = 33,742.80 × 15,982.80
  4. Step 4: Simplify right side
    22,543.80x = 539,304,423.84
  5. Step 5: Solve for x
    x = 539,304,423.84/22,543.80
  6. Step 6: Final answer
    x = 23,922.52

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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.