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Finding the Fourth Proportional to 15,734.38, 21,712.62 and 8,659.45

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Solution

The fourth proportional to 15,734.38, 21,712.62 and 8,659.45 is: 11,949.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,734.38 : 21,712.62 = 8,659.45 : x
  2. Step 2: Convert to fraction form
    15,734.38/21,712.62 = 8,659.45/x
  3. Step 3: Cross multiply
    15,734.38x = 21,712.62 × 8,659.45
  4. Step 4: Simplify right side
    15,734.38x = 188,019,347.26
  5. Step 5: Solve for x
    x = 188,019,347.26/15,734.38
  6. Step 6: Final answer
    x = 11,949.59

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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.