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Finding the Fourth Proportional to 27,736.37, 38,270.16 and 16,406.49

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Solution

The fourth proportional to 27,736.37, 38,270.16 and 16,406.49 is: 22,637.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,736.37 : 38,270.16 = 16,406.49 : x
  2. Step 2: Convert to fraction form
    27,736.37/38,270.16 = 16,406.49/x
  3. Step 3: Cross multiply
    27,736.37x = 38,270.16 × 16,406.49
  4. Step 4: Simplify right side
    27,736.37x = 627,878,997.34
  5. Step 5: Solve for x
    x = 627,878,997.34/27,736.37
  6. Step 6: Final answer
    x = 22,637.39

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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.