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Finding the Fourth Proportional to 27,056.78, 40,589.04 and 8,338.40

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Solution

The fourth proportional to 27,056.78, 40,589.04 and 8,338.40 is: 12,508.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,056.78 : 40,589.04 = 8,338.40 : x
  2. Step 2: Convert to fraction form
    27,056.78/40,589.04 = 8,338.40/x
  3. Step 3: Cross multiply
    27,056.78x = 40,589.04 × 8,338.40
  4. Step 4: Simplify right side
    27,056.78x = 338,447,651.14
  5. Step 5: Solve for x
    x = 338,447,651.14/27,056.78
  6. Step 6: Final answer
    x = 12,508.79

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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.