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Finding the Fourth Proportional to 17,690.53, 24,413.31 and 9,732.75

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Solution

The fourth proportional to 17,690.53, 24,413.31 and 9,732.75 is: 13,431.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,690.53 : 24,413.31 = 9,732.75 : x
  2. Step 2: Convert to fraction form
    17,690.53/24,413.31 = 9,732.75/x
  3. Step 3: Cross multiply
    17,690.53x = 24,413.31 × 9,732.75
  4. Step 4: Simplify right side
    17,690.53x = 237,608,642.90
  5. Step 5: Solve for x
    x = 237,608,642.90/17,690.53
  6. Step 6: Final answer
    x = 13,431.40

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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.