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Finding the Fourth Proportional to 17,684.82, 24,404.47 and 9,726.97

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Solution

The fourth proportional to 17,684.82, 24,404.47 and 9,726.97 is: 13,422.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,684.82 : 24,404.47 = 9,726.97 : x
  2. Step 2: Convert to fraction form
    17,684.82/24,404.47 = 9,726.97/x
  3. Step 3: Cross multiply
    17,684.82x = 24,404.47 × 9,726.97
  4. Step 4: Simplify right side
    17,684.82x = 237,381,547.56
  5. Step 5: Solve for x
    x = 237,381,547.56/17,684.82
  6. Step 6: Final answer
    x = 13,422.90

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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.