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Finding the Fourth Proportional to 16,722.86, 23,077.81 and 9,169.91

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Solution

The fourth proportional to 16,722.86, 23,077.81 and 9,169.91 is: 12,654.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,722.86 : 23,077.81 = 9,169.91 : x
  2. Step 2: Convert to fraction form
    16,722.86/23,077.81 = 9,169.91/x
  3. Step 3: Cross multiply
    16,722.86x = 23,077.81 × 9,169.91
  4. Step 4: Simplify right side
    16,722.86x = 211,621,423.31
  5. Step 5: Solve for x
    x = 211,621,423.31/16,722.86
  6. Step 6: Final answer
    x = 12,654.62

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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.