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Finding the Fourth Proportional to 20,135.57, 27,788.33 and 12,178.13

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Solution

The fourth proportional to 20,135.57, 27,788.33 and 12,178.13 is: 16,806.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,135.57 : 27,788.33 = 12,178.13 : x
  2. Step 2: Convert to fraction form
    20,135.57/27,788.33 = 12,178.13/x
  3. Step 3: Cross multiply
    20,135.57x = 27,788.33 × 12,178.13
  4. Step 4: Simplify right side
    20,135.57x = 338,409,786.73
  5. Step 5: Solve for x
    x = 338,409,786.73/20,135.57
  6. Step 6: Final answer
    x = 16,806.57

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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.