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Finding the Fourth Proportional to 12,422.92, 17,123.70 and 11,405.56

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Solution

The fourth proportional to 12,422.92, 17,123.70 and 11,405.56 is: 15,721.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,422.92 : 17,123.70 = 11,405.56 : x
  2. Step 2: Convert to fraction form
    12,422.92/17,123.70 = 11,405.56/x
  3. Step 3: Cross multiply
    12,422.92x = 17,123.70 × 11,405.56
  4. Step 4: Simplify right side
    12,422.92x = 195,305,387.77
  5. Step 5: Solve for x
    x = 195,305,387.77/12,422.92
  6. Step 6: Final answer
    x = 15,721.38

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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.