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Finding the Fourth Proportional to 27,794.76, 38,363.52 and 17,178

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Solution

The fourth proportional to 27,794.76, 38,363.52 and 17,178 is: 23,709.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,794.76 : 38,363.52 = 17,178 : x
  2. Step 2: Convert to fraction form
    27,794.76/38,363.52 = 17,178/x
  3. Step 3: Cross multiply
    27,794.76x = 38,363.52 × 17,178
  4. Step 4: Simplify right side
    27,794.76x = 659,008,546.56
  5. Step 5: Solve for x
    x = 659,008,546.56/27,794.76
  6. Step 6: Final answer
    x = 23,709.81

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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.