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Finding the Fourth Proportional to 16,111.86, 22,235.50 and 8,942.14

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Solution

The fourth proportional to 16,111.86, 22,235.50 and 8,942.14 is: 12,340.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,111.86 : 22,235.50 = 8,942.14 : x
  2. Step 2: Convert to fraction form
    16,111.86/22,235.50 = 8,942.14/x
  3. Step 3: Cross multiply
    16,111.86x = 22,235.50 × 8,942.14
  4. Step 4: Simplify right side
    16,111.86x = 198,832,953.97
  5. Step 5: Solve for x
    x = 198,832,953.97/16,111.86
  6. Step 6: Final answer
    x = 12,340.78

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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.