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Finding the Fourth Proportional to 18,194, 27,295.32 and 5,882

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Solution

The fourth proportional to 18,194, 27,295.32 and 5,882 is: 8,824.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,194 : 27,295.32 = 5,882 : x
  2. Step 2: Convert to fraction form
    18,194/27,295.32 = 5,882/x
  3. Step 3: Cross multiply
    18,194x = 27,295.32 × 5,882
  4. Step 4: Simplify right side
    18,194x = 160,551,072.24
  5. Step 5: Solve for x
    x = 160,551,072.24/18,194
  6. Step 6: Final answer
    x = 8,824.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.