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Finding the Fourth Proportional to 12,917.25, 17,825.76 and 7,251.69

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Solution

The fourth proportional to 12,917.25, 17,825.76 and 7,251.69 is: 10,007.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,917.25 : 17,825.76 = 7,251.69 : x
  2. Step 2: Convert to fraction form
    12,917.25/17,825.76 = 7,251.69/x
  3. Step 3: Cross multiply
    12,917.25x = 17,825.76 × 7,251.69
  4. Step 4: Simplify right side
    12,917.25x = 129,266,885.53
  5. Step 5: Solve for x
    x = 129,266,885.53/12,917.25
  6. Step 6: Final answer
    x = 10,007.31

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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.