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Finding the Fourth Proportional to 15,734.32, 21,712.56 and 8,659.37

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Solution

The fourth proportional to 15,734.32, 21,712.56 and 8,659.37 is: 11,949.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,734.32 : 21,712.56 = 8,659.37 : x
  2. Step 2: Convert to fraction form
    15,734.32/21,712.56 = 8,659.37/x
  3. Step 3: Cross multiply
    15,734.32x = 21,712.56 × 8,659.37
  4. Step 4: Simplify right side
    15,734.32x = 188,017,112.50
  5. Step 5: Solve for x
    x = 188,017,112.50/15,734.32
  6. Step 6: Final answer
    x = 11,949.49

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