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Finding the Fourth Proportional to 20,541.44, 30,814.06 and 9,451.20

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Solution

The fourth proportional to 20,541.44, 30,814.06 and 9,451.20 is: 14,177.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,541.44 : 30,814.06 = 9,451.20 : x
  2. Step 2: Convert to fraction form
    20,541.44/30,814.06 = 9,451.20/x
  3. Step 3: Cross multiply
    20,541.44x = 30,814.06 × 9,451.20
  4. Step 4: Simplify right side
    20,541.44x = 291,229,843.87
  5. Step 5: Solve for x
    x = 291,229,843.87/20,541.44
  6. Step 6: Final answer
    x = 14,177.67

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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.