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Finding the Fourth Proportional to 12,318.87, 18,382.17 and 10,993.53

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Solution

The fourth proportional to 12,318.87, 18,382.17 and 10,993.53 is: 16,404.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,318.87 : 18,382.17 = 10,993.53 : x
  2. Step 2: Convert to fraction form
    12,318.87/18,382.17 = 10,993.53/x
  3. Step 3: Cross multiply
    12,318.87x = 18,382.17 × 10,993.53
  4. Step 4: Simplify right side
    12,318.87x = 202,084,937.36
  5. Step 5: Solve for x
    x = 202,084,937.36/12,318.87
  6. Step 6: Final answer
    x = 16,404.50

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Why These Related Problems?

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