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Finding the Fourth Proportional to 10,814.94, 16,223.40 and 3,023.73

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Solution

The fourth proportional to 10,814.94, 16,223.40 and 3,023.73 is: 4,535.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.94 : 16,223.40 = 3,023.73 : x
  2. Step 2: Convert to fraction form
    10,814.94/16,223.40 = 3,023.73/x
  3. Step 3: Cross multiply
    10,814.94x = 16,223.40 × 3,023.73
  4. Step 4: Simplify right side
    10,814.94x = 49,055,181.28
  5. Step 5: Solve for x
    x = 49,055,181.28/10,814.94
  6. Step 6: Final answer
    x = 4,535.87

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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.