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Finding the Fourth Proportional to 27,178.66, 40,778.88 and 12,394.54

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Solution

The fourth proportional to 27,178.66, 40,778.88 and 12,394.54 is: 18,596.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,178.66 : 40,778.88 = 12,394.54 : x
  2. Step 2: Convert to fraction form
    27,178.66/40,778.88 = 12,394.54/x
  3. Step 3: Cross multiply
    27,178.66x = 40,778.88 × 12,394.54
  4. Step 4: Simplify right side
    27,178.66x = 505,435,459.32
  5. Step 5: Solve for x
    x = 505,435,459.32/27,178.66
  6. Step 6: Final answer
    x = 18,596.78

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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.