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Finding the Fourth Proportional to 12,422.25, 17,148.42 and 7,709.31

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Solution

The fourth proportional to 12,422.25, 17,148.42 and 7,709.31 is: 10,642.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,422.25 : 17,148.42 = 7,709.31 : x
  2. Step 2: Convert to fraction form
    12,422.25/17,148.42 = 7,709.31/x
  3. Step 3: Cross multiply
    12,422.25x = 17,148.42 × 7,709.31
  4. Step 4: Simplify right side
    12,422.25x = 132,202,485.79
  5. Step 5: Solve for x
    x = 132,202,485.79/12,422.25
  6. Step 6: Final answer
    x = 10,642.39

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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.