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Finding the Fourth Proportional to 20,138.84, 27,791.53 and 12,178.77

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Solution

The fourth proportional to 20,138.84, 27,791.53 and 12,178.77 is: 16,806.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138.84 : 27,791.53 = 12,178.77 : x
  2. Step 2: Convert to fraction form
    20,138.84/27,791.53 = 12,178.77/x
  3. Step 3: Cross multiply
    20,138.84x = 27,791.53 × 12,178.77
  4. Step 4: Simplify right side
    20,138.84x = 338,466,651.82
  5. Step 5: Solve for x
    x = 338,466,651.82/20,138.84
  6. Step 6: Final answer
    x = 16,806.66

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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.