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Finding the Fourth Proportional to 16,245.69, 22,413.24 and 9,869.68

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Solution

The fourth proportional to 16,245.69, 22,413.24 and 9,869.68 is: 13,616.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,245.69 : 22,413.24 = 9,869.68 : x
  2. Step 2: Convert to fraction form
    16,245.69/22,413.24 = 9,869.68/x
  3. Step 3: Cross multiply
    16,245.69x = 22,413.24 × 9,869.68
  4. Step 4: Simplify right side
    16,245.69x = 221,211,506.56
  5. Step 5: Solve for x
    x = 221,211,506.56/16,245.69
  6. Step 6: Final answer
    x = 13,616.63

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1.5x scale

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.