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Finding the Fourth Proportional to 12,182.64, 16,815.24 and 7,708.56

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Solution

The fourth proportional to 12,182.64, 16,815.24 and 7,708.56 is: 10,639.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182.64 : 16,815.24 = 7,708.56 : x
  2. Step 2: Convert to fraction form
    12,182.64/16,815.24 = 7,708.56/x
  3. Step 3: Cross multiply
    12,182.64x = 16,815.24 × 7,708.56
  4. Step 4: Simplify right side
    12,182.64x = 129,621,286.45
  5. Step 5: Solve for x
    x = 129,621,286.45/12,182.64
  6. Step 6: Final answer
    x = 10,639.84

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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.