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Finding the Fourth Proportional to 12,712.26, 17,542.86 and 7,047.30

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Solution

The fourth proportional to 12,712.26, 17,542.86 and 7,047.30 is: 9,725.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,712.26 : 17,542.86 = 7,047.30 : x
  2. Step 2: Convert to fraction form
    12,712.26/17,542.86 = 7,047.30/x
  3. Step 3: Cross multiply
    12,712.26x = 17,542.86 × 7,047.30
  4. Step 4: Simplify right side
    12,712.26x = 123,629,797.28
  5. Step 5: Solve for x
    x = 123,629,797.28/12,712.26
  6. Step 6: Final answer
    x = 9,725.24

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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.