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Finding the Fourth Proportional to 16,015.32, 22,101.26 and 8,942.13

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Solution

The fourth proportional to 16,015.32, 22,101.26 and 8,942.13 is: 12,340.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,015.32 : 22,101.26 = 8,942.13 : x
  2. Step 2: Convert to fraction form
    16,015.32/22,101.26 = 8,942.13/x
  3. Step 3: Cross multiply
    16,015.32x = 22,101.26 × 8,942.13
  4. Step 4: Simplify right side
    16,015.32x = 197,632,295.37
  5. Step 5: Solve for x
    x = 197,632,295.37/16,015.32
  6. Step 6: Final answer
    x = 12,340.20

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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.