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Finding the Fourth Proportional to 18,296.50, 27,436.98 and 5,813.18

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Solution

The fourth proportional to 18,296.50, 27,436.98 and 5,813.18 is: 8,717.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,296.50 : 27,436.98 = 5,813.18 : x
  2. Step 2: Convert to fraction form
    18,296.50/27,436.98 = 5,813.18/x
  3. Step 3: Cross multiply
    18,296.50x = 27,436.98 × 5,813.18
  4. Step 4: Simplify right side
    18,296.50x = 159,496,212.53
  5. Step 5: Solve for x
    x = 159,496,212.53/18,296.50
  6. Step 6: Final answer
    x = 8,717.31

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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.