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Finding the Fourth Proportional to 13,868.16, 20,797.92 and 4,632

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Solution

The fourth proportional to 13,868.16, 20,797.92 and 4,632 is: 6,946.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,868.16 : 20,797.92 = 4,632 : x
  2. Step 2: Convert to fraction form
    13,868.16/20,797.92 = 4,632/x
  3. Step 3: Cross multiply
    13,868.16x = 20,797.92 × 4,632
  4. Step 4: Simplify right side
    13,868.16x = 96,335,965.44
  5. Step 5: Solve for x
    x = 96,335,965.44/13,868.16
  6. Step 6: Final answer
    x = 6,946.56

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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.