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Finding the Fourth Proportional to 13,541.73, 20,305.16 and 4,179.20

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Solution

The fourth proportional to 13,541.73, 20,305.16 and 4,179.20 is: 6,266.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,541.73 : 20,305.16 = 4,179.20 : x
  2. Step 2: Convert to fraction form
    13,541.73/20,305.16 = 4,179.20/x
  3. Step 3: Cross multiply
    13,541.73x = 20,305.16 × 4,179.20
  4. Step 4: Simplify right side
    13,541.73x = 84,859,202.25
  5. Step 5: Solve for x
    x = 84,859,202.25/13,541.73
  6. Step 6: Final answer
    x = 6,266.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.