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Finding the Fourth Proportional to 20,196.57, 27,872.78 and 11,700.98

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Solution

The fourth proportional to 20,196.57, 27,872.78 and 11,700.98 is: 16,148.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,196.57 : 27,872.78 = 11,700.98 : x
  2. Step 2: Convert to fraction form
    20,196.57/27,872.78 = 11,700.98/x
  3. Step 3: Cross multiply
    20,196.57x = 27,872.78 × 11,700.98
  4. Step 4: Simplify right side
    20,196.57x = 326,138,841.32
  5. Step 5: Solve for x
    x = 326,138,841.32/20,196.57
  6. Step 6: Final answer
    x = 16,148.23

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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.