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Finding the Fourth Proportional to 15,731.32, 21,708.84 and 8,657.68

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Solution

The fourth proportional to 15,731.32, 21,708.84 and 8,657.68 is: 11,947.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,731.32 : 21,708.84 = 8,657.68 : x
  2. Step 2: Convert to fraction form
    15,731.32/21,708.84 = 8,657.68/x
  3. Step 3: Cross multiply
    15,731.32x = 21,708.84 × 8,657.68
  4. Step 4: Simplify right side
    15,731.32x = 187,948,189.89
  5. Step 5: Solve for x
    x = 187,948,189.89/15,731.32
  6. Step 6: Final answer
    x = 11,947.39

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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.