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Finding the Fourth Proportional to 22,922.40, 34,432.20 and 22,096.20

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Solution

The fourth proportional to 22,922.40, 34,432.20 and 22,096.20 is: 33,191.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,922.40 : 34,432.20 = 22,096.20 : x
  2. Step 2: Convert to fraction form
    22,922.40/34,432.20 = 22,096.20/x
  3. Step 3: Cross multiply
    22,922.40x = 34,432.20 × 22,096.20
  4. Step 4: Simplify right side
    22,922.40x = 760,820,777.64
  5. Step 5: Solve for x
    x = 760,820,777.64/22,922.40
  6. Step 6: Final answer
    x = 33,191.15

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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.