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Finding the Fourth Proportional to 18,523.92, 27,790.56 and 5,376

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Solution

The fourth proportional to 18,523.92, 27,790.56 and 5,376 is: 8,065.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,523.92 : 27,790.56 = 5,376 : x
  2. Step 2: Convert to fraction form
    18,523.92/27,790.56 = 5,376/x
  3. Step 3: Cross multiply
    18,523.92x = 27,790.56 × 5,376
  4. Step 4: Simplify right side
    18,523.92x = 149,402,050.56
  5. Step 5: Solve for x
    x = 149,402,050.56/18,523.92
  6. Step 6: Final answer
    x = 8,065.36

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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.