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Finding the Fourth Proportional to 12,825.30, 17,691.80 and 7,519.10

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Solution

The fourth proportional to 12,825.30, 17,691.80 and 7,519.10 is: 10,372.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,825.30 : 17,691.80 = 7,519.10 : x
  2. Step 2: Convert to fraction form
    12,825.30/17,691.80 = 7,519.10/x
  3. Step 3: Cross multiply
    12,825.30x = 17,691.80 × 7,519.10
  4. Step 4: Simplify right side
    12,825.30x = 133,026,287.33
  5. Step 5: Solve for x
    x = 133,026,287.33/12,825.30
  6. Step 6: Final answer
    x = 10,372.18

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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.