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Finding the Fourth Proportional to 12,183.20, 16,809.47 and 7,708.80

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Solution

The fourth proportional to 12,183.20, 16,809.47 and 7,708.80 is: 10,636.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,183.20 : 16,809.47 = 7,708.80 : x
  2. Step 2: Convert to fraction form
    12,183.20/16,809.47 = 7,708.80/x
  3. Step 3: Cross multiply
    12,183.20x = 16,809.47 × 7,708.80
  4. Step 4: Simplify right side
    12,183.20x = 129,580,803.79
  5. Step 5: Solve for x
    x = 129,580,803.79/12,183.20
  6. Step 6: Final answer
    x = 10,636.03

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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.