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Finding the Fourth Proportional to 16,015.75, 22,101.74 and 8,942.17

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Solution

The fourth proportional to 16,015.75, 22,101.74 and 8,942.17 is: 12,340.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,015.75 : 22,101.74 = 8,942.17 : x
  2. Step 2: Convert to fraction form
    16,015.75/22,101.74 = 8,942.17/x
  3. Step 3: Cross multiply
    16,015.75x = 22,101.74 × 8,942.17
  4. Step 4: Simplify right side
    16,015.75x = 197,637,516.38
  5. Step 5: Solve for x
    x = 197,637,516.38/16,015.75
  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.