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Finding the Fourth Proportional to 12,876, 17,769.96 and 8,158.56

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Solution

The fourth proportional to 12,876, 17,769.96 and 8,158.56 is: 11,259.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,876 : 17,769.96 = 8,158.56 : x
  2. Step 2: Convert to fraction form
    12,876/17,769.96 = 8,158.56/x
  3. Step 3: Cross multiply
    12,876x = 17,769.96 × 8,158.56
  4. Step 4: Simplify right side
    12,876x = 144,977,284.86
  5. Step 5: Solve for x
    x = 144,977,284.86/12,876
  6. Step 6: Final answer
    x = 11,259.50

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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.