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Finding the Fourth Proportional to 21,175.20, 31,753.20 and 8,023.20

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Solution

The fourth proportional to 21,175.20, 31,753.20 and 8,023.20 is: 12,031.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,175.20 : 31,753.20 = 8,023.20 : x
  2. Step 2: Convert to fraction form
    21,175.20/31,753.20 = 8,023.20/x
  3. Step 3: Cross multiply
    21,175.20x = 31,753.20 × 8,023.20
  4. Step 4: Simplify right side
    21,175.20x = 254,762,274.24
  5. Step 5: Solve for x
    x = 254,762,274.24/21,175.20
  6. Step 6: Final answer
    x = 12,031.16

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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.