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Finding the Fourth Proportional to 12,306.92, 18,366.20 and 10,993.64

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Solution

The fourth proportional to 12,306.92, 18,366.20 and 10,993.64 is: 16,406.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,306.92 : 18,366.20 = 10,993.64 : x
  2. Step 2: Convert to fraction form
    12,306.92/18,366.20 = 10,993.64/x
  3. Step 3: Cross multiply
    12,306.92x = 18,366.20 × 10,993.64
  4. Step 4: Simplify right side
    12,306.92x = 201,911,390.97
  5. Step 5: Solve for x
    x = 201,911,390.97/12,306.92
  6. Step 6: Final answer
    x = 16,406.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.