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Finding the Fourth Proportional to 21,456.80, 32,194.80 and 10,359.20

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Solution

The fourth proportional to 21,456.80, 32,194.80 and 10,359.20 is: 15,543.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,456.80 : 32,194.80 = 10,359.20 : x
  2. Step 2: Convert to fraction form
    21,456.80/32,194.80 = 10,359.20/x
  3. Step 3: Cross multiply
    21,456.80x = 32,194.80 × 10,359.20
  4. Step 4: Simplify right side
    21,456.80x = 333,512,372.16
  5. Step 5: Solve for x
    x = 333,512,372.16/21,456.80
  6. Step 6: Final answer
    x = 15,543.43

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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.