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Finding the Fourth Proportional to 12,789.09, 17,648.98 and 7,412.56

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Solution

The fourth proportional to 12,789.09, 17,648.98 and 7,412.56 is: 10,229.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,789.09 : 17,648.98 = 7,412.56 : x
  2. Step 2: Convert to fraction form
    12,789.09/17,648.98 = 7,412.56/x
  3. Step 3: Cross multiply
    12,789.09x = 17,648.98 × 7,412.56
  4. Step 4: Simplify right side
    12,789.09x = 130,824,149.39
  5. Step 5: Solve for x
    x = 130,824,149.39/12,789.09
  6. Step 6: Final answer
    x = 10,229.36

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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.