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Finding the Fourth Proportional to 13,923.28, 20,860.31 and 9,232.17

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Solution

The fourth proportional to 13,923.28, 20,860.31 and 9,232.17 is: 13,831.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,923.28 : 20,860.31 = 9,232.17 : x
  2. Step 2: Convert to fraction form
    13,923.28/20,860.31 = 9,232.17/x
  3. Step 3: Cross multiply
    13,923.28x = 20,860.31 × 9,232.17
  4. Step 4: Simplify right side
    13,923.28x = 192,585,777.71
  5. Step 5: Solve for x
    x = 192,585,777.71/13,923.28
  6. Step 6: Final answer
    x = 13,831.93

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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.