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Finding the Fourth Proportional to 12,839.31, 17,718.21 and 7,097.36

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Solution

The fourth proportional to 12,839.31, 17,718.21 and 7,097.36 is: 9,794.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,839.31 : 17,718.21 = 7,097.36 : x
  2. Step 2: Convert to fraction form
    12,839.31/17,718.21 = 7,097.36/x
  3. Step 3: Cross multiply
    12,839.31x = 17,718.21 × 7,097.36
  4. Step 4: Simplify right side
    12,839.31x = 125,752,426.33
  5. Step 5: Solve for x
    x = 125,752,426.33/12,839.31
  6. Step 6: Final answer
    x = 9,794.33

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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.