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Finding the Fourth Proportional to 27,138.62, 37,453.62 and 15,204.41

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Solution

The fourth proportional to 27,138.62, 37,453.62 and 15,204.41 is: 20,983.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,138.62 : 37,453.62 = 15,204.41 : x
  2. Step 2: Convert to fraction form
    27,138.62/37,453.62 = 15,204.41/x
  3. Step 3: Cross multiply
    27,138.62x = 37,453.62 × 15,204.41
  4. Step 4: Simplify right side
    27,138.62x = 569,460,007.20
  5. Step 5: Solve for x
    x = 569,460,007.20/27,138.62
  6. Step 6: Final answer
    x = 20,983.39

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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.