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Finding the Fourth Proportional to 21,008.20, 31,512.30 and 15,500.20

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Solution

The fourth proportional to 21,008.20, 31,512.30 and 15,500.20 is: 23,250.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,008.20 : 31,512.30 = 15,500.20 : x
  2. Step 2: Convert to fraction form
    21,008.20/31,512.30 = 15,500.20/x
  3. Step 3: Cross multiply
    21,008.20x = 31,512.30 × 15,500.20
  4. Step 4: Simplify right side
    21,008.20x = 488,446,952.46
  5. Step 5: Solve for x
    x = 488,446,952.46/21,008.20
  6. Step 6: Final answer
    x = 23,250.30

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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.