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Finding the Fourth Proportional to 12,085.20, 16,674.48 and 7,609.68

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Solution

The fourth proportional to 12,085.20, 16,674.48 and 7,609.68 is: 10,499.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,085.20 : 16,674.48 = 7,609.68 : x
  2. Step 2: Convert to fraction form
    12,085.20/16,674.48 = 7,609.68/x
  3. Step 3: Cross multiply
    12,085.20x = 16,674.48 × 7,609.68
  4. Step 4: Simplify right side
    12,085.20x = 126,887,456.97
  5. Step 5: Solve for x
    x = 126,887,456.97/12,085.20
  6. Step 6: Final answer
    x = 10,499.41

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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.