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Finding the Fourth Proportional to 13,639.28, 20,463.24 and 4,874

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Solution

The fourth proportional to 13,639.28, 20,463.24 and 4,874 is: 7,312.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,639.28 : 20,463.24 = 4,874 : x
  2. Step 2: Convert to fraction form
    13,639.28/20,463.24 = 4,874/x
  3. Step 3: Cross multiply
    13,639.28x = 20,463.24 × 4,874
  4. Step 4: Simplify right side
    13,639.28x = 99,737,831.76
  5. Step 5: Solve for x
    x = 99,737,831.76/13,639.28
  6. Step 6: Final answer
    x = 7,312.54

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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.