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Finding the Fourth Proportional to 27,440.96, 37,866.20 and 16,109.24

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Solution

The fourth proportional to 27,440.96, 37,866.20 and 16,109.24 is: 22,229.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,440.96 : 37,866.20 = 16,109.24 : x
  2. Step 2: Convert to fraction form
    27,440.96/37,866.20 = 16,109.24/x
  3. Step 3: Cross multiply
    27,440.96x = 37,866.20 × 16,109.24
  4. Step 4: Simplify right side
    27,440.96x = 609,995,703.69
  5. Step 5: Solve for x
    x = 609,995,703.69/27,440.96
  6. Step 6: Final answer
    x = 22,229.39

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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.