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Finding the Fourth Proportional to 27,930.80, 41,872.64 and 12,123.92

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Solution

The fourth proportional to 27,930.80, 41,872.64 and 12,123.92 is: 18,175.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,930.80 : 41,872.64 = 12,123.92 : x
  2. Step 2: Convert to fraction form
    27,930.80/41,872.64 = 12,123.92/x
  3. Step 3: Cross multiply
    27,930.80x = 41,872.64 × 12,123.92
  4. Step 4: Simplify right side
    27,930.80x = 507,660,537.55
  5. Step 5: Solve for x
    x = 507,660,537.55/27,930.80
  6. Step 6: Final answer
    x = 18,175.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.