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Finding the Fourth Proportional to 17,690.83, 24,413.78 and 9,624.94

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Solution

The fourth proportional to 17,690.83, 24,413.78 and 9,624.94 is: 13,282.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,690.83 : 24,413.78 = 9,624.94 : x
  2. Step 2: Convert to fraction form
    17,690.83/24,413.78 = 9,624.94/x
  3. Step 3: Cross multiply
    17,690.83x = 24,413.78 × 9,624.94
  4. Step 4: Simplify right side
    17,690.83x = 234,981,130.70
  5. Step 5: Solve for x
    x = 234,981,130.70/17,690.83
  6. Step 6: Final answer
    x = 13,282.65

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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.