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Finding the Fourth Proportional to 22,011.88, 30,385.38 and 16,413.16

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Solution

The fourth proportional to 22,011.88, 30,385.38 and 16,413.16 is: 22,656.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,011.88 : 30,385.38 = 16,413.16 : x
  2. Step 2: Convert to fraction form
    22,011.88/30,385.38 = 16,413.16/x
  3. Step 3: Cross multiply
    22,011.88x = 30,385.38 × 16,413.16
  4. Step 4: Simplify right side
    22,011.88x = 498,720,103.60
  5. Step 5: Solve for x
    x = 498,720,103.60/22,011.88
  6. Step 6: Final answer
    x = 22,656.86

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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.