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Finding the Fourth Proportional to 21,996.80, 32,975.19 and 11,454.42

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Solution

The fourth proportional to 21,996.80, 32,975.19 and 11,454.42 is: 17,171.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,996.80 : 32,975.19 = 11,454.42 : x
  2. Step 2: Convert to fraction form
    21,996.80/32,975.19 = 11,454.42/x
  3. Step 3: Cross multiply
    21,996.80x = 32,975.19 × 11,454.42
  4. Step 4: Simplify right side
    21,996.80x = 377,711,675.84
  5. Step 5: Solve for x
    x = 377,711,675.84/21,996.80
  6. Step 6: Final answer
    x = 17,171.21

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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.