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Finding the Fourth Proportional to 12,746.97, 17,591.18 and 7,442.28

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Solution

The fourth proportional to 12,746.97, 17,591.18 and 7,442.28 is: 10,270.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,746.97 : 17,591.18 = 7,442.28 : x
  2. Step 2: Convert to fraction form
    12,746.97/17,591.18 = 7,442.28/x
  3. Step 3: Cross multiply
    12,746.97x = 17,591.18 × 7,442.28
  4. Step 4: Simplify right side
    12,746.97x = 130,918,449.88
  5. Step 5: Solve for x
    x = 130,918,449.88/12,746.97
  6. Step 6: Final answer
    x = 10,270.55

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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.