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Finding the Fourth Proportional to 16,201.97, 22,358.72 and 8,749.97

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Solution

The fourth proportional to 16,201.97, 22,358.72 and 8,749.97 is: 12,074.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,201.97 : 22,358.72 = 8,749.97 : x
  2. Step 2: Convert to fraction form
    16,201.97/22,358.72 = 8,749.97/x
  3. Step 3: Cross multiply
    16,201.97x = 22,358.72 × 8,749.97
  4. Step 4: Simplify right side
    16,201.97x = 195,638,123.16
  5. Step 5: Solve for x
    x = 195,638,123.16/16,201.97
  6. Step 6: Final answer
    x = 12,074.96

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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.