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Finding the Fourth Proportional to 17,801.22, 24,566.20 and 9,843.96

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Solution

The fourth proportional to 17,801.22, 24,566.20 and 9,843.96 is: 13,584.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,801.22 : 24,566.20 = 9,843.96 : x
  2. Step 2: Convert to fraction form
    17,801.22/24,566.20 = 9,843.96/x
  3. Step 3: Cross multiply
    17,801.22x = 24,566.20 × 9,843.96
  4. Step 4: Simplify right side
    17,801.22x = 241,828,690.15
  5. Step 5: Solve for x
    x = 241,828,690.15/17,801.22
  6. Step 6: Final answer
    x = 13,584.95

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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.