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Finding the Fourth Proportional to 12,724.14, 17,560.47 and 7,690.86

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Solution

The fourth proportional to 12,724.14, 17,560.47 and 7,690.86 is: 10,614.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,724.14 : 17,560.47 = 7,690.86 : x
  2. Step 2: Convert to fraction form
    12,724.14/17,560.47 = 7,690.86/x
  3. Step 3: Cross multiply
    12,724.14x = 17,560.47 × 7,690.86
  4. Step 4: Simplify right side
    12,724.14x = 135,055,116.30
  5. Step 5: Solve for x
    x = 135,055,116.30/12,724.14
  6. Step 6: Final answer
    x = 10,614.09

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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.