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Finding the Fourth Proportional to 16,967.88, 23,413.32 and 9,894.96

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Solution

The fourth proportional to 16,967.88, 23,413.32 and 9,894.96 is: 13,653.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,967.88 : 23,413.32 = 9,894.96 : x
  2. Step 2: Convert to fraction form
    16,967.88/23,413.32 = 9,894.96/x
  3. Step 3: Cross multiply
    16,967.88x = 23,413.32 × 9,894.96
  4. Step 4: Simplify right side
    16,967.88x = 231,673,864.87
  5. Step 5: Solve for x
    x = 231,673,864.87/16,967.88
  6. Step 6: Final answer
    x = 13,653.67

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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.