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Finding the Fourth Proportional to 13,831.68, 20,728.08 and 6,024.12

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Solution

The fourth proportional to 13,831.68, 20,728.08 and 6,024.12 is: 9,027.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,831.68 : 20,728.08 = 6,024.12 : x
  2. Step 2: Convert to fraction form
    13,831.68/20,728.08 = 6,024.12/x
  3. Step 3: Cross multiply
    13,831.68x = 20,728.08 × 6,024.12
  4. Step 4: Simplify right side
    13,831.68x = 124,868,441.29
  5. Step 5: Solve for x
    x = 124,868,441.29/13,831.68
  6. Step 6: Final answer
    x = 9,027.71

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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.