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Finding the Fourth Proportional to 15,711.80, 21,682.28 and 8,638.68

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Solution

The fourth proportional to 15,711.80, 21,682.28 and 8,638.68 is: 11,921.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,711.80 : 21,682.28 = 8,638.68 : x
  2. Step 2: Convert to fraction form
    15,711.80/21,682.28 = 8,638.68/x
  3. Step 3: Cross multiply
    15,711.80x = 21,682.28 × 8,638.68
  4. Step 4: Simplify right side
    15,711.80x = 187,306,278.59
  5. Step 5: Solve for x
    x = 187,306,278.59/15,711.80
  6. Step 6: Final answer
    x = 11,921.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.