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Finding the Fourth Proportional to 18,275, 27,416.34 and 7,331

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Solution

The fourth proportional to 18,275, 27,416.34 and 7,331 is: 10,998.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,275 : 27,416.34 = 7,331 : x
  2. Step 2: Convert to fraction form
    18,275/27,416.34 = 7,331/x
  3. Step 3: Cross multiply
    18,275x = 27,416.34 × 7,331
  4. Step 4: Simplify right side
    18,275x = 200,989,188.54
  5. Step 5: Solve for x
    x = 200,989,188.54/18,275
  6. Step 6: Final answer
    x = 10,998.04

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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.