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Finding the Fourth Proportional to 16,201.70, 22,351.78 and 9,917.72

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Solution

The fourth proportional to 16,201.70, 22,351.78 and 9,917.72 is: 13,682.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,201.70 : 22,351.78 = 9,917.72 : x
  2. Step 2: Convert to fraction form
    16,201.70/22,351.78 = 9,917.72/x
  3. Step 3: Cross multiply
    16,201.70x = 22,351.78 × 9,917.72
  4. Step 4: Simplify right side
    16,201.70x = 221,678,695.54
  5. Step 5: Solve for x
    x = 221,678,695.54/16,201.70
  6. Step 6: Final answer
    x = 13,682.43

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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.