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Finding the Fourth Proportional to 15,749.32, 21,734.05 and 8,675.89

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Solution

The fourth proportional to 15,749.32, 21,734.05 and 8,675.89 is: 11,972.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,749.32 : 21,734.05 = 8,675.89 : x
  2. Step 2: Convert to fraction form
    15,749.32/21,734.05 = 8,675.89/x
  3. Step 3: Cross multiply
    15,749.32x = 21,734.05 × 8,675.89
  4. Step 4: Simplify right side
    15,749.32x = 188,562,118.38
  5. Step 5: Solve for x
    x = 188,562,118.38/15,749.32
  6. Step 6: Final answer
    x = 11,972.72

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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.