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Finding the Fourth Proportional to 18,208.97, 27,324.06 and 7,678.34

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Solution

The fourth proportional to 18,208.97, 27,324.06 and 7,678.34 is: 11,521.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,208.97 : 27,324.06 = 7,678.34 : x
  2. Step 2: Convert to fraction form
    18,208.97/27,324.06 = 7,678.34/x
  3. Step 3: Cross multiply
    18,208.97x = 27,324.06 × 7,678.34
  4. Step 4: Simplify right side
    18,208.97x = 209,803,286.24
  5. Step 5: Solve for x
    x = 209,803,286.24/18,208.97
  6. Step 6: Final answer
    x = 11,521.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.