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Finding the Fourth Proportional to 18,218, 27,324.56 and 7,116.96

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Solution

The fourth proportional to 18,218, 27,324.56 and 7,116.96 is: 10,674.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,218 : 27,324.56 = 7,116.96 : x
  2. Step 2: Convert to fraction form
    18,218/27,324.56 = 7,116.96/x
  3. Step 3: Cross multiply
    18,218x = 27,324.56 × 7,116.96
  4. Step 4: Simplify right side
    18,218x = 194,467,800.54
  5. Step 5: Solve for x
    x = 194,467,800.54/18,218
  6. Step 6: Final answer
    x = 10,674.49

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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.