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Finding the Fourth Proportional to 18,212.84, 27,329.86 and 7,682.20

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Solution

The fourth proportional to 18,212.84, 27,329.86 and 7,682.20 is: 11,527.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,212.84 : 27,329.86 = 7,682.20 : x
  2. Step 2: Convert to fraction form
    18,212.84/27,329.86 = 7,682.20/x
  3. Step 3: Cross multiply
    18,212.84x = 27,329.86 × 7,682.20
  4. Step 4: Simplify right side
    18,212.84x = 209,953,450.49
  5. Step 5: Solve for x
    x = 209,953,450.49/18,212.84
  6. Step 6: Final answer
    x = 11,527.77

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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.