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Finding the Fourth Proportional to 16,297.22, 22,489.54 and 9,223.65

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Solution

The fourth proportional to 16,297.22, 22,489.54 and 9,223.65 is: 12,728.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,297.22 : 22,489.54 = 9,223.65 : x
  2. Step 2: Convert to fraction form
    16,297.22/22,489.54 = 9,223.65/x
  3. Step 3: Cross multiply
    16,297.22x = 22,489.54 × 9,223.65
  4. Step 4: Simplify right side
    16,297.22x = 207,435,622.56
  5. Step 5: Solve for x
    x = 207,435,622.56/16,297.22
  6. Step 6: Final answer
    x = 12,728.28

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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.