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Finding the Fourth Proportional to 16,223.22, 22,388.36 and 9,149.81

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Solution

The fourth proportional to 16,223.22, 22,388.36 and 9,149.81 is: 12,626.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,223.22 : 22,388.36 = 9,149.81 : x
  2. Step 2: Convert to fraction form
    16,223.22/22,388.36 = 9,149.81/x
  3. Step 3: Cross multiply
    16,223.22x = 22,388.36 × 9,149.81
  4. Step 4: Simplify right side
    16,223.22x = 204,849,082.52
  5. Step 5: Solve for x
    x = 204,849,082.52/16,223.22
  6. Step 6: Final answer
    x = 12,626.91

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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.