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Finding the Fourth Proportional to 12,725.37, 19,092.92 and 7,184.97

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Solution

The fourth proportional to 12,725.37, 19,092.92 and 7,184.97 is: 10,780.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,725.37 : 19,092.92 = 7,184.97 : x
  2. Step 2: Convert to fraction form
    12,725.37/19,092.92 = 7,184.97/x
  3. Step 3: Cross multiply
    12,725.37x = 19,092.92 × 7,184.97
  4. Step 4: Simplify right side
    12,725.37x = 137,182,021.49
  5. Step 5: Solve for x
    x = 137,182,021.49/12,725.37
  6. Step 6: Final answer
    x = 10,780.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.