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Finding the Fourth Proportional to 20,099.70, 27,734.01 and 12,136.59

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Solution

The fourth proportional to 20,099.70, 27,734.01 and 12,136.59 is: 16,746.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,099.70 : 27,734.01 = 12,136.59 : x
  2. Step 2: Convert to fraction form
    20,099.70/27,734.01 = 12,136.59/x
  3. Step 3: Cross multiply
    20,099.70x = 27,734.01 × 12,136.59
  4. Step 4: Simplify right side
    20,099.70x = 336,596,308.43
  5. Step 5: Solve for x
    x = 336,596,308.43/20,099.70
  6. Step 6: Final answer
    x = 16,746.33

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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.