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Finding the Fourth Proportional to 20,563.92, 30,840.48 and 7,413.84

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Solution

The fourth proportional to 20,563.92, 30,840.48 and 7,413.84 is: 11,118.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,563.92 : 30,840.48 = 7,413.84 : x
  2. Step 2: Convert to fraction form
    20,563.92/30,840.48 = 7,413.84/x
  3. Step 3: Cross multiply
    20,563.92x = 30,840.48 × 7,413.84
  4. Step 4: Simplify right side
    20,563.92x = 228,646,384.24
  5. Step 5: Solve for x
    x = 228,646,384.24/20,563.92
  6. Step 6: Final answer
    x = 11,118.81

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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.