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Finding the Fourth Proportional to 16,967.16, 23,414.82 and 9,413.98

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Solution

The fourth proportional to 16,967.16, 23,414.82 and 9,413.98 is: 12,991.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,967.16 : 23,414.82 = 9,413.98 : x
  2. Step 2: Convert to fraction form
    16,967.16/23,414.82 = 9,413.98/x
  3. Step 3: Cross multiply
    16,967.16x = 23,414.82 × 9,413.98
  4. Step 4: Simplify right side
    16,967.16x = 220,426,530.11
  5. Step 5: Solve for x
    x = 220,426,530.11/16,967.16
  6. Step 6: Final answer
    x = 12,991.36

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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.