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Finding the Fourth Proportional to 16,341.72, 22,553.24 and 9,629.44

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Solution

The fourth proportional to 16,341.72, 22,553.24 and 9,629.44 is: 13,289.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,341.72 : 22,553.24 = 9,629.44 : x
  2. Step 2: Convert to fraction form
    16,341.72/22,553.24 = 9,629.44/x
  3. Step 3: Cross multiply
    16,341.72x = 22,553.24 × 9,629.44
  4. Step 4: Simplify right side
    16,341.72x = 217,175,071.39
  5. Step 5: Solve for x
    x = 217,175,071.39/16,341.72
  6. Step 6: Final answer
    x = 13,289.61

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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.