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Finding the Fourth Proportional to 14,814.93, 22,231.14 and 5,461.48

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Solution

The fourth proportional to 14,814.93, 22,231.14 and 5,461.48 is: 8,195.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,814.93 : 22,231.14 = 5,461.48 : x
  2. Step 2: Convert to fraction form
    14,814.93/22,231.14 = 5,461.48/x
  3. Step 3: Cross multiply
    14,814.93x = 22,231.14 × 5,461.48
  4. Step 4: Simplify right side
    14,814.93x = 121,414,850.43
  5. Step 5: Solve for x
    x = 121,414,850.43/14,814.93
  6. Step 6: Final answer
    x = 8,195.44

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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.