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Finding the Fourth Proportional to 16,201.77, 22,358.44 and 8,749.77

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Solution

The fourth proportional to 16,201.77, 22,358.44 and 8,749.77 is: 12,074.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,201.77 : 22,358.44 = 8,749.77 : x
  2. Step 2: Convert to fraction form
    16,201.77/22,358.44 = 8,749.77/x
  3. Step 3: Cross multiply
    16,201.77x = 22,358.44 × 8,749.77
  4. Step 4: Simplify right side
    16,201.77x = 195,631,052.02
  5. Step 5: Solve for x
    x = 195,631,052.02/16,201.77
  6. Step 6: Final answer
    x = 12,074.68

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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.