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Finding the Fourth Proportional to 17,205.54, 23,743.26 and 9,548.82

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Solution

The fourth proportional to 17,205.54, 23,743.26 and 9,548.82 is: 13,177.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,205.54 : 23,743.26 = 9,548.82 : x
  2. Step 2: Convert to fraction form
    17,205.54/23,743.26 = 9,548.82/x
  3. Step 3: Cross multiply
    17,205.54x = 23,743.26 × 9,548.82
  4. Step 4: Simplify right side
    17,205.54x = 226,720,115.95
  5. Step 5: Solve for x
    x = 226,720,115.95/17,205.54
  6. Step 6: Final answer
    x = 13,177.16

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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.