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Finding the Fourth Proportional to 17,690.83, 24,413.38 and 9,733.55

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Solution

The fourth proportional to 17,690.83, 24,413.38 and 9,733.55 is: 13,432.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,690.83 : 24,413.38 = 9,733.55 : x
  2. Step 2: Convert to fraction form
    17,690.83/24,413.38 = 9,733.55/x
  3. Step 3: Cross multiply
    17,690.83x = 24,413.38 × 9,733.55
  4. Step 4: Simplify right side
    17,690.83x = 237,628,708.50
  5. Step 5: Solve for x
    x = 237,628,708.50/17,690.83
  6. Step 6: Final answer
    x = 13,432.31

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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.