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Finding the Fourth Proportional to 16,015.65, 22,101.61 and 8,942.07

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Solution

The fourth proportional to 16,015.65, 22,101.61 and 8,942.07 is: 12,340.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,015.65 : 22,101.61 = 8,942.07 : x
  2. Step 2: Convert to fraction form
    16,015.65/22,101.61 = 8,942.07/x
  3. Step 3: Cross multiply
    16,015.65x = 22,101.61 × 8,942.07
  4. Step 4: Simplify right side
    16,015.65x = 197,634,143.73
  5. Step 5: Solve for x
    x = 197,634,143.73/16,015.65
  6. Step 6: Final answer
    x = 12,340.06

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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.