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Finding the Fourth Proportional to 24,280.40, 36,413.40 and 9,480.80

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Solution

The fourth proportional to 24,280.40, 36,413.40 and 9,480.80 is: 14,218.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,280.40 : 36,413.40 = 9,480.80 : x
  2. Step 2: Convert to fraction form
    24,280.40/36,413.40 = 9,480.80/x
  3. Step 3: Cross multiply
    24,280.40x = 36,413.40 × 9,480.80
  4. Step 4: Simplify right side
    24,280.40x = 345,228,162.72
  5. Step 5: Solve for x
    x = 345,228,162.72/24,280.40
  6. Step 6: Final answer
    x = 14,218.39

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1.5x scale

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.