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Finding the Fourth Proportional to 18,382.50, 27,573.63 and 5,234.82

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Solution

The fourth proportional to 18,382.50, 27,573.63 and 5,234.82 is: 7,852.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,382.50 : 27,573.63 = 5,234.82 : x
  2. Step 2: Convert to fraction form
    18,382.50/27,573.63 = 5,234.82/x
  3. Step 3: Cross multiply
    18,382.50x = 27,573.63 × 5,234.82
  4. Step 4: Simplify right side
    18,382.50x = 144,342,989.80
  5. Step 5: Solve for x
    x = 144,342,989.80/18,382.50
  6. Step 6: Final answer
    x = 7,852.20

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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.