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Finding the Fourth Proportional to 17,684.36, 24,404.61 and 9,726.65

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Solution

The fourth proportional to 17,684.36, 24,404.61 and 9,726.65 is: 13,422.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,684.36 : 24,404.61 = 9,726.65 : x
  2. Step 2: Convert to fraction form
    17,684.36/24,404.61 = 9,726.65/x
  3. Step 3: Cross multiply
    17,684.36x = 24,404.61 × 9,726.65
  4. Step 4: Simplify right side
    17,684.36x = 237,375,099.86
  5. Step 5: Solve for x
    x = 237,375,099.86/17,684.36
  6. Step 6: Final answer
    x = 13,422.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.