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Finding the Fourth Proportional to 22,080.85, 30,471.77 and 12,009.38

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Solution

The fourth proportional to 22,080.85, 30,471.77 and 12,009.38 is: 16,573.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,080.85 : 30,471.77 = 12,009.38 : x
  2. Step 2: Convert to fraction form
    22,080.85/30,471.77 = 12,009.38/x
  3. Step 3: Cross multiply
    22,080.85x = 30,471.77 × 12,009.38
  4. Step 4: Simplify right side
    22,080.85x = 365,946,942.87
  5. Step 5: Solve for x
    x = 365,946,942.87/22,080.85
  6. Step 6: Final answer
    x = 16,573.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.