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Finding the Fourth Proportional to 17,603.25, 24,292.49 and 9,645.50

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Solution

The fourth proportional to 17,603.25, 24,292.49 and 9,645.50 is: 13,310.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,603.25 : 24,292.49 = 9,645.50 : x
  2. Step 2: Convert to fraction form
    17,603.25/24,292.49 = 9,645.50/x
  3. Step 3: Cross multiply
    17,603.25x = 24,292.49 × 9,645.50
  4. Step 4: Simplify right side
    17,603.25x = 234,313,042.61
  5. Step 5: Solve for x
    x = 234,313,042.61/17,603.25
  6. Step 6: Final answer
    x = 13,310.78

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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.