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Finding the Fourth Proportional to 27,328.39, 37,715.86 and 15,997.20

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Solution

The fourth proportional to 27,328.39, 37,715.86 and 15,997.20 is: 22,077.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,328.39 : 37,715.86 = 15,997.20 : x
  2. Step 2: Convert to fraction form
    27,328.39/37,715.86 = 15,997.20/x
  3. Step 3: Cross multiply
    27,328.39x = 37,715.86 × 15,997.20
  4. Step 4: Simplify right side
    27,328.39x = 603,348,115.60
  5. Step 5: Solve for x
    x = 603,348,115.60/27,328.39
  6. Step 6: Final answer
    x = 22,077.71

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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.