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Finding the Fourth Proportional to 27,944.64, 38,580.03 and 17,340.12

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Solution

The fourth proportional to 27,944.64, 38,580.03 and 17,340.12 is: 23,939.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,944.64 : 38,580.03 = 17,340.12 : x
  2. Step 2: Convert to fraction form
    27,944.64/38,580.03 = 17,340.12/x
  3. Step 3: Cross multiply
    27,944.64x = 38,580.03 × 17,340.12
  4. Step 4: Simplify right side
    27,944.64x = 668,982,349.80
  5. Step 5: Solve for x
    x = 668,982,349.80/27,944.64
  6. Step 6: Final answer
    x = 23,939.56

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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.