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Finding the Fourth Proportional to 17,785.56, 24,542.01 and 9,827.31

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Solution

The fourth proportional to 17,785.56, 24,542.01 and 9,827.31 is: 13,560.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,785.56 : 24,542.01 = 9,827.31 : x
  2. Step 2: Convert to fraction form
    17,785.56/24,542.01 = 9,827.31/x
  3. Step 3: Cross multiply
    17,785.56x = 24,542.01 × 9,827.31
  4. Step 4: Simplify right side
    17,785.56x = 241,181,940.29
  5. Step 5: Solve for x
    x = 241,181,940.29/17,785.56
  6. Step 6: Final answer
    x = 13,560.55

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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.