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Finding the Fourth Proportional to 21,841.85, 32,760.05 and 7,049.23

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Solution

The fourth proportional to 21,841.85, 32,760.05 and 7,049.23 is: 10,572.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,841.85 : 32,760.05 = 7,049.23 : x
  2. Step 2: Convert to fraction form
    21,841.85/32,760.05 = 7,049.23/x
  3. Step 3: Cross multiply
    21,841.85x = 32,760.05 × 7,049.23
  4. Step 4: Simplify right side
    21,841.85x = 230,933,010.12
  5. Step 5: Solve for x
    x = 230,933,010.12/21,841.85
  6. Step 6: Final answer
    x = 10,572.96

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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.