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Finding the Fourth Proportional to 13,831.55, 19,082.09 and 8,517.14

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Solution

The fourth proportional to 13,831.55, 19,082.09 and 8,517.14 is: 11,750.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,831.55 : 19,082.09 = 8,517.14 : x
  2. Step 2: Convert to fraction form
    13,831.55/19,082.09 = 8,517.14/x
  3. Step 3: Cross multiply
    13,831.55x = 19,082.09 × 8,517.14
  4. Step 4: Simplify right side
    13,831.55x = 162,524,757.90
  5. Step 5: Solve for x
    x = 162,524,757.90/13,831.55
  6. Step 6: Final answer
    x = 11,750.30

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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.