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Finding the Fourth Proportional to 14,814.09, 20,443.19 and 8,099.73

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Solution

The fourth proportional to 14,814.09, 20,443.19 and 8,099.73 is: 11,177.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,814.09 : 20,443.19 = 8,099.73 : x
  2. Step 2: Convert to fraction form
    14,814.09/20,443.19 = 8,099.73/x
  3. Step 3: Cross multiply
    14,814.09x = 20,443.19 × 8,099.73
  4. Step 4: Simplify right side
    14,814.09x = 165,584,278.84
  5. Step 5: Solve for x
    x = 165,584,278.84/14,814.09
  6. Step 6: Final answer
    x = 11,177.49

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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.