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Finding the Fourth Proportional to 12,350.54, 17,043.69 and 6,685.38

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Solution

The fourth proportional to 12,350.54, 17,043.69 and 6,685.38 is: 9,225.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,350.54 : 17,043.69 = 6,685.38 : x
  2. Step 2: Convert to fraction form
    12,350.54/17,043.69 = 6,685.38/x
  3. Step 3: Cross multiply
    12,350.54x = 17,043.69 × 6,685.38
  4. Step 4: Simplify right side
    12,350.54x = 113,943,544.25
  5. Step 5: Solve for x
    x = 113,943,544.25/12,350.54
  6. Step 6: Final answer
    x = 9,225.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.