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Finding the Fourth Proportional to 17,651.28, 24,358.80 and 9,694.02

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Solution

The fourth proportional to 17,651.28, 24,358.80 and 9,694.02 is: 13,377.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,651.28 : 24,358.80 = 9,694.02 : x
  2. Step 2: Convert to fraction form
    17,651.28/24,358.80 = 9,694.02/x
  3. Step 3: Cross multiply
    17,651.28x = 24,358.80 × 9,694.02
  4. Step 4: Simplify right side
    17,651.28x = 236,134,694.38
  5. Step 5: Solve for x
    x = 236,134,694.38/17,651.28
  6. Step 6: Final answer
    x = 13,377.77

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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.