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Finding the Fourth Proportional to 12,086.90, 18,137.54 and 6,540.13

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Solution

The fourth proportional to 12,086.90, 18,137.54 and 6,540.13 is: 9,814.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,086.90 : 18,137.54 = 6,540.13 : x
  2. Step 2: Convert to fraction form
    12,086.90/18,137.54 = 6,540.13/x
  3. Step 3: Cross multiply
    12,086.90x = 18,137.54 × 6,540.13
  4. Step 4: Simplify right side
    12,086.90x = 118,621,869.48
  5. Step 5: Solve for x
    x = 118,621,869.48/12,086.90
  6. Step 6: Final answer
    x = 9,814.09

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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.