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Finding the Fourth Proportional to 17,603.31, 24,292.57 and 9,645.82

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Solution

The fourth proportional to 17,603.31, 24,292.57 and 9,645.82 is: 13,311.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,603.31 : 24,292.57 = 9,645.82 : x
  2. Step 2: Convert to fraction form
    17,603.31/24,292.57 = 9,645.82/x
  3. Step 3: Cross multiply
    17,603.31x = 24,292.57 × 9,645.82
  4. Step 4: Simplify right side
    17,603.31x = 234,321,757.56
  5. Step 5: Solve for x
    x = 234,321,757.56/17,603.31
  6. Step 6: Final answer
    x = 13,311.23

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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.