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Finding the Fourth Proportional to 15,749.64, 21,734.51 and 8,676

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Solution

The fourth proportional to 15,749.64, 21,734.51 and 8,676 is: 11,972.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,749.64 : 21,734.51 = 8,676 : x
  2. Step 2: Convert to fraction form
    15,749.64/21,734.51 = 8,676/x
  3. Step 3: Cross multiply
    15,749.64x = 21,734.51 × 8,676
  4. Step 4: Simplify right side
    15,749.64x = 188,568,565.38
  5. Step 5: Solve for x
    x = 188,568,565.38/15,749.64
  6. Step 6: Final answer
    x = 11,972.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.