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Finding the Fourth Proportional to 16,077.81, 22,183.76 and 9,705.44

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Solution

The fourth proportional to 16,077.81, 22,183.76 and 9,705.44 is: 13,391.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,077.81 : 22,183.76 = 9,705.44 : x
  2. Step 2: Convert to fraction form
    16,077.81/22,183.76 = 9,705.44/x
  3. Step 3: Cross multiply
    16,077.81x = 22,183.76 × 9,705.44
  4. Step 4: Simplify right side
    16,077.81x = 215,302,992.21
  5. Step 5: Solve for x
    x = 215,302,992.21/16,077.81
  6. Step 6: Final answer
    x = 13,391.31

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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.