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Finding the Fourth Proportional to 12,086.42, 18,127.46 and 7,690.82

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Solution

The fourth proportional to 12,086.42, 18,127.46 and 7,690.82 is: 11,534.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,086.42 : 18,127.46 = 7,690.82 : x
  2. Step 2: Convert to fraction form
    12,086.42/18,127.46 = 7,690.82/x
  3. Step 3: Cross multiply
    12,086.42x = 18,127.46 × 7,690.82
  4. Step 4: Simplify right side
    12,086.42x = 139,414,960.51
  5. Step 5: Solve for x
    x = 139,414,960.51/12,086.42
  6. Step 6: Final answer
    x = 11,534.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.