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Finding the Fourth Proportional to 20,196.95, 27,878.10 and 12,136.48

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Solution

The fourth proportional to 20,196.95, 27,878.10 and 12,136.48 is: 16,752.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,196.95 : 27,878.10 = 12,136.48 : x
  2. Step 2: Convert to fraction form
    20,196.95/27,878.10 = 12,136.48/x
  3. Step 3: Cross multiply
    20,196.95x = 27,878.10 × 12,136.48
  4. Step 4: Simplify right side
    20,196.95x = 338,342,078.83
  5. Step 5: Solve for x
    x = 338,342,078.83/20,196.95
  6. Step 6: Final answer
    x = 16,752.14

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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.