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Finding the Fourth Proportional to 13,764, 20,646.96 and 5,443.56

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Solution

The fourth proportional to 13,764, 20,646.96 and 5,443.56 is: 8,165.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,764 : 20,646.96 = 5,443.56 : x
  2. Step 2: Convert to fraction form
    13,764/20,646.96 = 5,443.56/x
  3. Step 3: Cross multiply
    13,764x = 20,646.96 × 5,443.56
  4. Step 4: Simplify right side
    13,764x = 112,392,965.58
  5. Step 5: Solve for x
    x = 112,392,965.58/13,764
  6. Step 6: Final answer
    x = 8,165.72

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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.