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Finding the Fourth Proportional to 28,204.50, 42,299.82 and 12,413.49

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Solution

The fourth proportional to 28,204.50, 42,299.82 and 12,413.49 is: 18,617.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,204.50 : 42,299.82 = 12,413.49 : x
  2. Step 2: Convert to fraction form
    28,204.50/42,299.82 = 12,413.49/x
  3. Step 3: Cross multiply
    28,204.50x = 42,299.82 × 12,413.49
  4. Step 4: Simplify right side
    28,204.50x = 525,088,392.57
  5. Step 5: Solve for x
    x = 525,088,392.57/28,204.50
  6. Step 6: Final answer
    x = 18,617.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.