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Finding the Fourth Proportional to 17,651.64, 24,359.64 and 9,694

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Solution

The fourth proportional to 17,651.64, 24,359.64 and 9,694 is: 13,377.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,651.64 : 24,359.64 = 9,694 : x
  2. Step 2: Convert to fraction form
    17,651.64/24,359.64 = 9,694/x
  3. Step 3: Cross multiply
    17,651.64x = 24,359.64 × 9,694
  4. Step 4: Simplify right side
    17,651.64x = 236,142,350.16
  5. Step 5: Solve for x
    x = 236,142,350.16/17,651.64
  6. Step 6: Final answer
    x = 13,377.93

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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.