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Finding the Fourth Proportional to 15,720.43, 21,694.08 and 8,646.70

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Solution

The fourth proportional to 15,720.43, 21,694.08 and 8,646.70 is: 11,932.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,720.43 : 21,694.08 = 8,646.70 : x
  2. Step 2: Convert to fraction form
    15,720.43/21,694.08 = 8,646.70/x
  3. Step 3: Cross multiply
    15,720.43x = 21,694.08 × 8,646.70
  4. Step 4: Simplify right side
    15,720.43x = 187,582,201.54
  5. Step 5: Solve for x
    x = 187,582,201.54/15,720.43
  6. Step 6: Final answer
    x = 11,932.38

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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.