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Finding the Fourth Proportional to 20,413.48, 30,605.82 and 7,923.10

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Solution

The fourth proportional to 20,413.48, 30,605.82 and 7,923.10 is: 11,879.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,413.48 : 30,605.82 = 7,923.10 : x
  2. Step 2: Convert to fraction form
    20,413.48/30,605.82 = 7,923.10/x
  3. Step 3: Cross multiply
    20,413.48x = 30,605.82 × 7,923.10
  4. Step 4: Simplify right side
    20,413.48x = 242,492,972.44
  5. Step 5: Solve for x
    x = 242,492,972.44/20,413.48
  6. Step 6: Final answer
    x = 11,879.06

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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.