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Finding the Fourth Proportional to 12,800.57, 17,649.68 and 8,769.33

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Solution

The fourth proportional to 12,800.57, 17,649.68 and 8,769.33 is: 12,091.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800.57 : 17,649.68 = 8,769.33 : x
  2. Step 2: Convert to fraction form
    12,800.57/17,649.68 = 8,769.33/x
  3. Step 3: Cross multiply
    12,800.57x = 17,649.68 × 8,769.33
  4. Step 4: Simplify right side
    12,800.57x = 154,775,824.47
  5. Step 5: Solve for x
    x = 154,775,824.47/12,800.57
  6. Step 6: Final answer
    x = 12,091.33

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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.