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Finding the Fourth Proportional to 17,801.82, 24,565.68 and 9,843.84

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Solution

The fourth proportional to 17,801.82, 24,565.68 and 9,843.84 is: 13,584.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,801.82 : 24,565.68 = 9,843.84 : x
  2. Step 2: Convert to fraction form
    17,801.82/24,565.68 = 9,843.84/x
  3. Step 3: Cross multiply
    17,801.82x = 24,565.68 × 9,843.84
  4. Step 4: Simplify right side
    17,801.82x = 241,820,623.41
  5. Step 5: Solve for x
    x = 241,820,623.41/17,801.82
  6. Step 6: Final answer
    x = 13,584.04

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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.