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Finding the Fourth Proportional to 12,454.31, 17,187.68 and 7,150.84

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Solution

The fourth proportional to 12,454.31, 17,187.68 and 7,150.84 is: 9,868.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,454.31 : 17,187.68 = 7,150.84 : x
  2. Step 2: Convert to fraction form
    12,454.31/17,187.68 = 7,150.84/x
  3. Step 3: Cross multiply
    12,454.31x = 17,187.68 × 7,150.84
  4. Step 4: Simplify right side
    12,454.31x = 122,906,349.65
  5. Step 5: Solve for x
    x = 122,906,349.65/12,454.31
  6. Step 6: Final answer
    x = 9,868.58

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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.