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Finding the Fourth Proportional to 13,851.16, 20,772.42 and 4,615

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Solution

The fourth proportional to 13,851.16, 20,772.42 and 4,615 is: 6,921.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851.16 : 20,772.42 = 4,615 : x
  2. Step 2: Convert to fraction form
    13,851.16/20,772.42 = 4,615/x
  3. Step 3: Cross multiply
    13,851.16x = 20,772.42 × 4,615
  4. Step 4: Simplify right side
    13,851.16x = 95,864,718.30
  5. Step 5: Solve for x
    x = 95,864,718.30/13,851.16
  6. Step 6: Final answer
    x = 6,921.06

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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.