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Finding the Fourth Proportional to 22,996.40, 34,462.20 and 14,205.20

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Solution

The fourth proportional to 22,996.40, 34,462.20 and 14,205.20 is: 21,287.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,996.40 : 34,462.20 = 14,205.20 : x
  2. Step 2: Convert to fraction form
    22,996.40/34,462.20 = 14,205.20/x
  3. Step 3: Cross multiply
    22,996.40x = 34,462.20 × 14,205.20
  4. Step 4: Simplify right side
    22,996.40x = 489,542,443.44
  5. Step 5: Solve for x
    x = 489,542,443.44/22,996.40
  6. Step 6: Final answer
    x = 21,287.79

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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.