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Finding the Fourth Proportional to 16,382.86, 22,611.98 and 10,413.36

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Solution

The fourth proportional to 16,382.86, 22,611.98 and 10,413.36 is: 14,372.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,382.86 : 22,611.98 = 10,413.36 : x
  2. Step 2: Convert to fraction form
    16,382.86/22,611.98 = 10,413.36/x
  3. Step 3: Cross multiply
    16,382.86x = 22,611.98 × 10,413.36
  4. Step 4: Simplify right side
    16,382.86x = 235,466,688.05
  5. Step 5: Solve for x
    x = 235,466,688.05/16,382.86
  6. Step 6: Final answer
    x = 14,372.75

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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.