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Finding the Fourth Proportional to 17,829.62, 24,603.94 and 9,761.73

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Solution

The fourth proportional to 17,829.62, 24,603.94 and 9,761.73 is: 13,470.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,829.62 : 24,603.94 = 9,761.73 : x
  2. Step 2: Convert to fraction form
    17,829.62/24,603.94 = 9,761.73/x
  3. Step 3: Cross multiply
    17,829.62x = 24,603.94 × 9,761.73
  4. Step 4: Simplify right side
    17,829.62x = 240,177,019.22
  5. Step 5: Solve for x
    x = 240,177,019.22/17,829.62
  6. Step 6: Final answer
    x = 13,470.68

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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.