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Finding the Fourth Proportional to 15,859.28, 21,886 and 8,689.38

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Solution

The fourth proportional to 15,859.28, 21,886 and 8,689.38 is: 11,991.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,859.28 : 21,886 = 8,689.38 : x
  2. Step 2: Convert to fraction form
    15,859.28/21,886 = 8,689.38/x
  3. Step 3: Cross multiply
    15,859.28x = 21,886 × 8,689.38
  4. Step 4: Simplify right side
    15,859.28x = 190,175,770.68
  5. Step 5: Solve for x
    x = 190,175,770.68/15,859.28
  6. Step 6: Final answer
    x = 11,991.45

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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.