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Finding the Fourth Proportional to 12,094.99, 18,136.31 and 4,196.68

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Solution

The fourth proportional to 12,094.99, 18,136.31 and 4,196.68 is: 6,292.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,094.99 : 18,136.31 = 4,196.68 : x
  2. Step 2: Convert to fraction form
    12,094.99/18,136.31 = 4,196.68/x
  3. Step 3: Cross multiply
    12,094.99x = 18,136.31 × 4,196.68
  4. Step 4: Simplify right side
    12,094.99x = 76,112,223.13
  5. Step 5: Solve for x
    x = 76,112,223.13/12,094.99
  6. Step 6: Final answer
    x = 6,292.87

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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.