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Finding the Fourth Proportional to 20,154.70, 27,815.75 and 12,196.77

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Solution

The fourth proportional to 20,154.70, 27,815.75 and 12,196.77 is: 16,832.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,154.70 : 27,815.75 = 12,196.77 : x
  2. Step 2: Convert to fraction form
    20,154.70/27,815.75 = 12,196.77/x
  3. Step 3: Cross multiply
    20,154.70x = 27,815.75 × 12,196.77
  4. Step 4: Simplify right side
    20,154.70x = 339,262,305.13
  5. Step 5: Solve for x
    x = 339,262,305.13/20,154.70
  6. Step 6: Final answer
    x = 16,832.91

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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.