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Finding the Fourth Proportional to 17,690.36, 24,413.32 and 9,733.16

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Solution

The fourth proportional to 17,690.36, 24,413.32 and 9,733.16 is: 13,432.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,690.36 : 24,413.32 = 9,733.16 : x
  2. Step 2: Convert to fraction form
    17,690.36/24,413.32 = 9,733.16/x
  3. Step 3: Cross multiply
    17,690.36x = 24,413.32 × 9,733.16
  4. Step 4: Simplify right side
    17,690.36x = 237,618,749.69
  5. Step 5: Solve for x
    x = 237,618,749.69/17,690.36
  6. Step 6: Final answer
    x = 13,432.10

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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.