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Finding the Fourth Proportional to 12,471.88, 17,211.21 and 6,882.88

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Solution

The fourth proportional to 12,471.88, 17,211.21 and 6,882.88 is: 9,498.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.88 : 17,211.21 = 6,882.88 : x
  2. Step 2: Convert to fraction form
    12,471.88/17,211.21 = 6,882.88/x
  3. Step 3: Cross multiply
    12,471.88x = 17,211.21 × 6,882.88
  4. Step 4: Simplify right side
    12,471.88x = 118,462,693.08
  5. Step 5: Solve for x
    x = 118,462,693.08/12,471.88
  6. Step 6: Final answer
    x = 9,498.38

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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.