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Finding the Fourth Proportional to 13,644, 20,466 and 5,441.76

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Solution

The fourth proportional to 13,644, 20,466 and 5,441.76 is: 8,162.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,644 : 20,466 = 5,441.76 : x
  2. Step 2: Convert to fraction form
    13,644/20,466 = 5,441.76/x
  3. Step 3: Cross multiply
    13,644x = 20,466 × 5,441.76
  4. Step 4: Simplify right side
    13,644x = 111,371,060.16
  5. Step 5: Solve for x
    x = 111,371,060.16/13,644
  6. Step 6: Final answer
    x = 8,162.64

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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.