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Finding the Fourth Proportional to 12,497.38, 17,246.50 and 8,021.22

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Solution

The fourth proportional to 12,497.38, 17,246.50 and 8,021.22 is: 11,069.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.38 : 17,246.50 = 8,021.22 : x
  2. Step 2: Convert to fraction form
    12,497.38/17,246.50 = 8,021.22/x
  3. Step 3: Cross multiply
    12,497.38x = 17,246.50 × 8,021.22
  4. Step 4: Simplify right side
    12,497.38x = 138,337,970.73
  5. Step 5: Solve for x
    x = 138,337,970.73/12,497.38
  6. Step 6: Final answer
    x = 11,069.36

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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.