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Finding the Fourth Proportional to 16,243.15, 22,413.13 and 9,866.42

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Solution

The fourth proportional to 16,243.15, 22,413.13 and 9,866.42 is: 13,614.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,243.15 : 22,413.13 = 9,866.42 : x
  2. Step 2: Convert to fraction form
    16,243.15/22,413.13 = 9,866.42/x
  3. Step 3: Cross multiply
    16,243.15x = 22,413.13 × 9,866.42
  4. Step 4: Simplify right side
    16,243.15x = 221,137,354.09
  5. Step 5: Solve for x
    x = 221,137,354.09/16,243.15
  6. Step 6: Final answer
    x = 13,614.19

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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.