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Finding the Fourth Proportional to 16,224.14, 22,388.63 and 9,151.22

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Solution

The fourth proportional to 16,224.14, 22,388.63 and 9,151.22 is: 12,628.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,224.14 : 22,388.63 = 9,151.22 : x
  2. Step 2: Convert to fraction form
    16,224.14/22,388.63 = 9,151.22/x
  3. Step 3: Cross multiply
    16,224.14x = 22,388.63 × 9,151.22
  4. Step 4: Simplify right side
    16,224.14x = 204,883,288.84
  5. Step 5: Solve for x
    x = 204,883,288.84/16,224.14
  6. Step 6: Final answer
    x = 12,628.30

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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.