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Finding the Fourth Proportional to 27,505, 37,966.74 and 16,327

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Solution

The fourth proportional to 27,505, 37,966.74 and 16,327 is: 22,537.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,505 : 37,966.74 = 16,327 : x
  2. Step 2: Convert to fraction form
    27,505/37,966.74 = 16,327/x
  3. Step 3: Cross multiply
    27,505x = 37,966.74 × 16,327
  4. Step 4: Simplify right side
    27,505x = 619,882,963.98
  5. Step 5: Solve for x
    x = 619,882,963.98/27,505
  6. Step 6: Final answer
    x = 22,537.10

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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.