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Finding the Fourth Proportional to 12,834.40, 17,712.48 and 7,171.20

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Solution

The fourth proportional to 12,834.40, 17,712.48 and 7,171.20 is: 9,896.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,834.40 : 17,712.48 = 7,171.20 : x
  2. Step 2: Convert to fraction form
    12,834.40/17,712.48 = 7,171.20/x
  3. Step 3: Cross multiply
    12,834.40x = 17,712.48 × 7,171.20
  4. Step 4: Simplify right side
    12,834.40x = 127,019,736.58
  5. Step 5: Solve for x
    x = 127,019,736.58/12,834.40
  6. Step 6: Final answer
    x = 9,896.82

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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.