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Finding the Fourth Proportional to 18,047.96, 27,074.27 and 6,957.82

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Solution

The fourth proportional to 18,047.96, 27,074.27 and 6,957.82 is: 10,437.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,047.96 : 27,074.27 = 6,957.82 : x
  2. Step 2: Convert to fraction form
    18,047.96/27,074.27 = 6,957.82/x
  3. Step 3: Cross multiply
    18,047.96x = 27,074.27 × 6,957.82
  4. Step 4: Simplify right side
    18,047.96x = 188,377,948.53
  5. Step 5: Solve for x
    x = 188,377,948.53/18,047.96
  6. Step 6: Final answer
    x = 10,437.63

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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.