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Finding the Fourth Proportional to 20,413.60, 30,620.54 and 5,623.32

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Solution

The fourth proportional to 20,413.60, 30,620.54 and 5,623.32 is: 8,435.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,413.60 : 30,620.54 = 5,623.32 : x
  2. Step 2: Convert to fraction form
    20,413.60/30,620.54 = 5,623.32/x
  3. Step 3: Cross multiply
    20,413.60x = 30,620.54 × 5,623.32
  4. Step 4: Simplify right side
    20,413.60x = 172,189,094.99
  5. Step 5: Solve for x
    x = 172,189,094.99/20,413.60
  6. Step 6: Final answer
    x = 8,435.02

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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.