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Finding the Fourth Proportional to 18,522.14, 27,780.47 and 6,832.67

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Solution

The fourth proportional to 18,522.14, 27,780.47 and 6,832.67 is: 10,247.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,522.14 : 27,780.47 = 6,832.67 : x
  2. Step 2: Convert to fraction form
    18,522.14/27,780.47 = 6,832.67/x
  3. Step 3: Cross multiply
    18,522.14x = 27,780.47 × 6,832.67
  4. Step 4: Simplify right side
    18,522.14x = 189,814,749.79
  5. Step 5: Solve for x
    x = 189,814,749.79/18,522.14
  6. Step 6: Final answer
    x = 10,247.99

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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.