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Finding the Fourth Proportional to 13,882.19, 20,831.43 and 5,123.21

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Solution

The fourth proportional to 13,882.19, 20,831.43 and 5,123.21 is: 7,687.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,882.19 : 20,831.43 = 5,123.21 : x
  2. Step 2: Convert to fraction form
    13,882.19/20,831.43 = 5,123.21/x
  3. Step 3: Cross multiply
    13,882.19x = 20,831.43 × 5,123.21
  4. Step 4: Simplify right side
    13,882.19x = 106,723,790.49
  5. Step 5: Solve for x
    x = 106,723,790.49/13,882.19
  6. Step 6: Final answer
    x = 7,687.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.