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Finding the Fourth Proportional to 21,876.80, 32,815.20 and 8,031.20

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Solution

The fourth proportional to 21,876.80, 32,815.20 and 8,031.20 is: 12,046.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,876.80 : 32,815.20 = 8,031.20 : x
  2. Step 2: Convert to fraction form
    21,876.80/32,815.20 = 8,031.20/x
  3. Step 3: Cross multiply
    21,876.80x = 32,815.20 × 8,031.20
  4. Step 4: Simplify right side
    21,876.80x = 263,545,434.24
  5. Step 5: Solve for x
    x = 263,545,434.24/21,876.80
  6. Step 6: Final answer
    x = 12,046.80

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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.