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Finding the Fourth Proportional to 12,463.67, 18,716.67 and 8,330.24

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Solution

The fourth proportional to 12,463.67, 18,716.67 and 8,330.24 is: 12,509.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,463.67 : 18,716.67 = 8,330.24 : x
  2. Step 2: Convert to fraction form
    12,463.67/18,716.67 = 8,330.24/x
  3. Step 3: Cross multiply
    12,463.67x = 18,716.67 × 8,330.24
  4. Step 4: Simplify right side
    12,463.67x = 155,914,399.89
  5. Step 5: Solve for x
    x = 155,914,399.89/12,463.67
  6. Step 6: Final answer
    x = 12,509.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.