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Finding the Fourth Proportional to 15,986.43, 22,057.52 and 9,697.59

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Solution

The fourth proportional to 15,986.43, 22,057.52 and 9,697.59 is: 13,380.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,986.43 : 22,057.52 = 9,697.59 : x
  2. Step 2: Convert to fraction form
    15,986.43/22,057.52 = 9,697.59/x
  3. Step 3: Cross multiply
    15,986.43x = 22,057.52 × 9,697.59
  4. Step 4: Simplify right side
    15,986.43x = 213,904,736.89
  5. Step 5: Solve for x
    x = 213,904,736.89/15,986.43
  6. Step 6: Final answer
    x = 13,380.39

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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.