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Finding the Fourth Proportional to 16,241.50, 22,413.81 and 9,952.66

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Solution

The fourth proportional to 16,241.50, 22,413.81 and 9,952.66 is: 13,735.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,241.50 : 22,413.81 = 9,952.66 : x
  2. Step 2: Convert to fraction form
    16,241.50/22,413.81 = 9,952.66/x
  3. Step 3: Cross multiply
    16,241.50x = 22,413.81 × 9,952.66
  4. Step 4: Simplify right side
    16,241.50x = 223,077,030.23
  5. Step 5: Solve for x
    x = 223,077,030.23/16,241.50
  6. Step 6: Final answer
    x = 13,735.00

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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.