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Finding the Fourth Proportional to 18,493.56, 27,737.37 and 6,804

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Solution

The fourth proportional to 18,493.56, 27,737.37 and 6,804 is: 10,204.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,493.56 : 27,737.37 = 6,804 : x
  2. Step 2: Convert to fraction form
    18,493.56/27,737.37 = 6,804/x
  3. Step 3: Cross multiply
    18,493.56x = 27,737.37 × 6,804
  4. Step 4: Simplify right side
    18,493.56x = 188,725,065.48
  5. Step 5: Solve for x
    x = 188,725,065.48/18,493.56
  6. Step 6: Final answer
    x = 10,204.91

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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.