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Finding the Fourth Proportional to 16,769.25, 23,141.57 and 9,317.25

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Solution

The fourth proportional to 16,769.25, 23,141.57 and 9,317.25 is: 12,857.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,769.25 : 23,141.57 = 9,317.25 : x
  2. Step 2: Convert to fraction form
    16,769.25/23,141.57 = 9,317.25/x
  3. Step 3: Cross multiply
    16,769.25x = 23,141.57 × 9,317.25
  4. Step 4: Simplify right side
    16,769.25x = 215,615,793.08
  5. Step 5: Solve for x
    x = 215,615,793.08/16,769.25
  6. Step 6: Final answer
    x = 12,857.81

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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.