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Finding the Fourth Proportional to 11,577.96, 17,439.06 and 10,766.88

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Solution

The fourth proportional to 11,577.96, 17,439.06 and 10,766.88 is: 16,217.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,577.96 : 17,439.06 = 10,766.88 : x
  2. Step 2: Convert to fraction form
    11,577.96/17,439.06 = 10,766.88/x
  3. Step 3: Cross multiply
    11,577.96x = 17,439.06 × 10,766.88
  4. Step 4: Simplify right side
    11,577.96x = 187,764,266.33
  5. Step 5: Solve for x
    x = 187,764,266.33/11,577.96
  6. Step 6: Final answer
    x = 16,217.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.