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Finding the Fourth Proportional to 16,769.68, 23,143.12 and 9,317.68

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Solution

The fourth proportional to 16,769.68, 23,143.12 and 9,317.68 is: 12,858.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,769.68 : 23,143.12 = 9,317.68 : x
  2. Step 2: Convert to fraction form
    16,769.68/23,143.12 = 9,317.68/x
  3. Step 3: Cross multiply
    16,769.68x = 23,143.12 × 9,317.68
  4. Step 4: Simplify right side
    16,769.68x = 215,640,186.36
  5. Step 5: Solve for x
    x = 215,640,186.36/16,769.68
  6. Step 6: Final answer
    x = 12,858.93

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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.