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Finding the Fourth Proportional to 12,697.69, 17,517.28 and 7,659.11

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Solution

The fourth proportional to 12,697.69, 17,517.28 and 7,659.11 is: 10,566.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,697.69 : 17,517.28 = 7,659.11 : x
  2. Step 2: Convert to fraction form
    12,697.69/17,517.28 = 7,659.11/x
  3. Step 3: Cross multiply
    12,697.69x = 17,517.28 × 7,659.11
  4. Step 4: Simplify right side
    12,697.69x = 134,166,774.42
  5. Step 5: Solve for x
    x = 134,166,774.42/12,697.69
  6. Step 6: Final answer
    x = 10,566.23

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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.