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Finding the Fourth Proportional to 17,801.94, 24,566.46 and 9,844.02

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Solution

The fourth proportional to 17,801.94, 24,566.46 and 9,844.02 is: 13,584.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,801.94 : 24,566.46 = 9,844.02 : x
  2. Step 2: Convert to fraction form
    17,801.94/24,566.46 = 9,844.02/x
  3. Step 3: Cross multiply
    17,801.94x = 24,566.46 × 9,844.02
  4. Step 4: Simplify right side
    17,801.94x = 241,832,723.57
  5. Step 5: Solve for x
    x = 241,832,723.57/17,801.94
  6. Step 6: Final answer
    x = 13,584.63

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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.