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Finding the Fourth Proportional to 24,202.25, 33,375.84 and 15,701.25

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Solution

The fourth proportional to 24,202.25, 33,375.84 and 15,701.25 is: 21,652.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,202.25 : 33,375.84 = 15,701.25 : x
  2. Step 2: Convert to fraction form
    24,202.25/33,375.84 = 15,701.25/x
  3. Step 3: Cross multiply
    24,202.25x = 33,375.84 × 15,701.25
  4. Step 4: Simplify right side
    24,202.25x = 524,042,407.80
  5. Step 5: Solve for x
    x = 524,042,407.80/24,202.25
  6. Step 6: Final answer
    x = 21,652.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.