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Finding the Fourth Proportional to 17,801.40, 24,565.78 and 9,843.56

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Solution

The fourth proportional to 17,801.40, 24,565.78 and 9,843.56 is: 13,584.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,801.40 : 24,565.78 = 9,843.56 : x
  2. Step 2: Convert to fraction form
    17,801.40/24,565.78 = 9,843.56/x
  3. Step 3: Cross multiply
    17,801.40x = 24,565.78 × 9,843.56
  4. Step 4: Simplify right side
    17,801.40x = 241,814,710.97
  5. Step 5: Solve for x
    x = 241,814,710.97/17,801.40
  6. Step 6: Final answer
    x = 13,584.02

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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.