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Finding the Fourth Proportional to 16,224.75, 22,390.14 and 9,151.16

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Solution

The fourth proportional to 16,224.75, 22,390.14 and 9,151.16 is: 12,628.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,224.75 : 22,390.14 = 9,151.16 : x
  2. Step 2: Convert to fraction form
    16,224.75/22,390.14 = 9,151.16/x
  3. Step 3: Cross multiply
    16,224.75x = 22,390.14 × 9,151.16
  4. Step 4: Simplify right side
    16,224.75x = 204,895,753.56
  5. Step 5: Solve for x
    x = 204,895,753.56/16,224.75
  6. Step 6: Final answer
    x = 12,628.59

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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.