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Finding the Fourth Proportional to 21,922.70, 32,866.05 and 9,452.30

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Solution

The fourth proportional to 21,922.70, 32,866.05 and 9,452.30 is: 14,170.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,922.70 : 32,866.05 = 9,452.30 : x
  2. Step 2: Convert to fraction form
    21,922.70/32,866.05 = 9,452.30/x
  3. Step 3: Cross multiply
    21,922.70x = 32,866.05 × 9,452.30
  4. Step 4: Simplify right side
    21,922.70x = 310,659,764.42
  5. Step 5: Solve for x
    x = 310,659,764.42/21,922.70
  6. Step 6: Final answer
    x = 14,170.69

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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.