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Finding the Fourth Proportional to 27,462, 37,896 and 16,849.44

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Solution

The fourth proportional to 27,462, 37,896 and 16,849.44 is: 23,251.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,462 : 37,896 = 16,849.44 : x
  2. Step 2: Convert to fraction form
    27,462/37,896 = 16,849.44/x
  3. Step 3: Cross multiply
    27,462x = 37,896 × 16,849.44
  4. Step 4: Simplify right side
    27,462x = 638,526,378.24
  5. Step 5: Solve for x
    x = 638,526,378.24/27,462
  6. Step 6: Final answer
    x = 23,251.27

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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.