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Finding the Fourth Proportional to 16,027.74, 22,114.53 and 9,309.42

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Solution

The fourth proportional to 16,027.74, 22,114.53 and 9,309.42 is: 12,844.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,027.74 : 22,114.53 = 9,309.42 : x
  2. Step 2: Convert to fraction form
    16,027.74/22,114.53 = 9,309.42/x
  3. Step 3: Cross multiply
    16,027.74x = 22,114.53 × 9,309.42
  4. Step 4: Simplify right side
    16,027.74x = 205,873,447.87
  5. Step 5: Solve for x
    x = 205,873,447.87/16,027.74
  6. Step 6: Final answer
    x = 12,844.82

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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.