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Finding the Fourth Proportional to 12,594.31, 17,381.19 and 7,290.97

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Solution

The fourth proportional to 12,594.31, 17,381.19 and 7,290.97 is: 10,062.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,594.31 : 17,381.19 = 7,290.97 : x
  2. Step 2: Convert to fraction form
    12,594.31/17,381.19 = 7,290.97/x
  3. Step 3: Cross multiply
    12,594.31x = 17,381.19 × 7,290.97
  4. Step 4: Simplify right side
    12,594.31x = 126,725,734.85
  5. Step 5: Solve for x
    x = 126,725,734.85/12,594.31
  6. Step 6: Final answer
    x = 10,062.14

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