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Finding the Fourth Proportional to 12,577.18, 17,361.83 and 8,489.87

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Solution

The fourth proportional to 12,577.18, 17,361.83 and 8,489.87 is: 11,719.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,577.18 : 17,361.83 = 8,489.87 : x
  2. Step 2: Convert to fraction form
    12,577.18/17,361.83 = 8,489.87/x
  3. Step 3: Cross multiply
    12,577.18x = 17,361.83 × 8,489.87
  4. Step 4: Simplify right side
    12,577.18x = 147,399,679.66
  5. Step 5: Solve for x
    x = 147,399,679.66/12,577.18
  6. Step 6: Final answer
    x = 11,719.61

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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.