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Finding the Fourth Proportional to 15,749.66, 21,733.52 and 8,676.04

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Solution

The fourth proportional to 15,749.66, 21,733.52 and 8,676.04 is: 11,972.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,749.66 : 21,733.52 = 8,676.04 : x
  2. Step 2: Convert to fraction form
    15,749.66/21,733.52 = 8,676.04/x
  3. Step 3: Cross multiply
    15,749.66x = 21,733.52 × 8,676.04
  4. Step 4: Simplify right side
    15,749.66x = 188,560,888.86
  5. Step 5: Solve for x
    x = 188,560,888.86/15,749.66
  6. Step 6: Final answer
    x = 11,972.38

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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.