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Finding the Fourth Proportional to 14,630.68, 21,942.11 and 4,100.11

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Solution

The fourth proportional to 14,630.68, 21,942.11 and 4,100.11 is: 6,149.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,630.68 : 21,942.11 = 4,100.11 : x
  2. Step 2: Convert to fraction form
    14,630.68/21,942.11 = 4,100.11/x
  3. Step 3: Cross multiply
    14,630.68x = 21,942.11 × 4,100.11
  4. Step 4: Simplify right side
    14,630.68x = 89,965,044.13
  5. Step 5: Solve for x
    x = 89,965,044.13/14,630.68
  6. Step 6: Final answer
    x = 6,149.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.