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Finding the Fourth Proportional to 19,786.20, 29,679.30 and 12,413.40

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Solution

The fourth proportional to 19,786.20, 29,679.30 and 12,413.40 is: 18,620.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,786.20 : 29,679.30 = 12,413.40 : x
  2. Step 2: Convert to fraction form
    19,786.20/29,679.30 = 12,413.40/x
  3. Step 3: Cross multiply
    19,786.20x = 29,679.30 × 12,413.40
  4. Step 4: Simplify right side
    19,786.20x = 368,421,022.62
  5. Step 5: Solve for x
    x = 368,421,022.62/19,786.20
  6. Step 6: Final answer
    x = 18,620.10

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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.