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Finding the Fourth Proportional to 14,814.14, 20,443.77 and 8,099.70

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Solution

The fourth proportional to 14,814.14, 20,443.77 and 8,099.70 is: 11,177.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,814.14 : 20,443.77 = 8,099.70 : x
  2. Step 2: Convert to fraction form
    14,814.14/20,443.77 = 8,099.70/x
  3. Step 3: Cross multiply
    14,814.14x = 20,443.77 × 8,099.70
  4. Step 4: Simplify right side
    14,814.14x = 165,588,403.87
  5. Step 5: Solve for x
    x = 165,588,403.87/14,814.14
  6. Step 6: Final answer
    x = 11,177.73

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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.