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Finding the Fourth Proportional to 17,601.75, 24,290.42 and 9,644.00

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Solution

The fourth proportional to 17,601.75, 24,290.42 and 9,644.00 is: 13,308.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,601.75 : 24,290.42 = 9,644.00 : x
  2. Step 2: Convert to fraction form
    17,601.75/24,290.42 = 9,644.00/x
  3. Step 3: Cross multiply
    17,601.75x = 24,290.42 × 9,644.00
  4. Step 4: Simplify right side
    17,601.75x = 234,256,640.81
  5. Step 5: Solve for x
    x = 234,256,640.81/17,601.75
  6. Step 6: Final answer
    x = 13,308.71

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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.