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Finding the Fourth Proportional to 12,074.31, 16,663.25 and 9,084.80

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Solution

The fourth proportional to 12,074.31, 16,663.25 and 9,084.80 is: 12,537.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,074.31 : 16,663.25 = 9,084.80 : x
  2. Step 2: Convert to fraction form
    12,074.31/16,663.25 = 9,084.80/x
  3. Step 3: Cross multiply
    12,074.31x = 16,663.25 × 9,084.80
  4. Step 4: Simplify right side
    12,074.31x = 151,382,357.97
  5. Step 5: Solve for x
    x = 151,382,357.97/12,074.31
  6. Step 6: Final answer
    x = 12,537.56

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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.