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Finding the Fourth Proportional to 27,427.41, 37,849.07 and 16,249.41

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Solution

The fourth proportional to 27,427.41, 37,849.07 and 16,249.41 is: 22,423.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,427.41 : 37,849.07 = 16,249.41 : x
  2. Step 2: Convert to fraction form
    27,427.41/37,849.07 = 16,249.41/x
  3. Step 3: Cross multiply
    27,427.41x = 37,849.07 × 16,249.41
  4. Step 4: Simplify right side
    27,427.41x = 615,024,975.30
  5. Step 5: Solve for x
    x = 615,024,975.30/27,427.41
  6. Step 6: Final answer
    x = 22,423.74

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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.