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Finding the Fourth Proportional to 14,896.14, 20,556.84 and 8,181.92

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Solution

The fourth proportional to 14,896.14, 20,556.84 and 8,181.92 is: 11,291.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,896.14 : 20,556.84 = 8,181.92 : x
  2. Step 2: Convert to fraction form
    14,896.14/20,556.84 = 8,181.92/x
  3. Step 3: Cross multiply
    14,896.14x = 20,556.84 × 8,181.92
  4. Step 4: Simplify right side
    14,896.14x = 168,194,389.65
  5. Step 5: Solve for x
    x = 168,194,389.65/14,896.14
  6. Step 6: Final answer
    x = 11,291.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.