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Finding the Fourth Proportional to 16,242.22, 22,413.81 and 9,169.30

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Solution

The fourth proportional to 16,242.22, 22,413.81 and 9,169.30 is: 12,653.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,242.22 : 22,413.81 = 9,169.30 : x
  2. Step 2: Convert to fraction form
    16,242.22/22,413.81 = 9,169.30/x
  3. Step 3: Cross multiply
    16,242.22x = 22,413.81 × 9,169.30
  4. Step 4: Simplify right side
    16,242.22x = 205,518,948.03
  5. Step 5: Solve for x
    x = 205,518,948.03/16,242.22
  6. Step 6: Final answer
    x = 12,653.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.