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Finding the Fourth Proportional to 16,413.68, 22,650.86 and 9,701.73

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Solution

The fourth proportional to 16,413.68, 22,650.86 and 9,701.73 is: 13,388.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,413.68 : 22,650.86 = 9,701.73 : x
  2. Step 2: Convert to fraction form
    16,413.68/22,650.86 = 9,701.73/x
  3. Step 3: Cross multiply
    16,413.68x = 22,650.86 × 9,701.73
  4. Step 4: Simplify right side
    16,413.68x = 219,752,552.24
  5. Step 5: Solve for x
    x = 219,752,552.24/16,413.68
  6. Step 6: Final answer
    x = 13,388.38

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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.