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Finding the Fourth Proportional to 27,451.85, 41,178.85 and 12,456.05

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Solution

The fourth proportional to 27,451.85, 41,178.85 and 12,456.05 is: 18,684.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,451.85 : 41,178.85 = 12,456.05 : x
  2. Step 2: Convert to fraction form
    27,451.85/41,178.85 = 12,456.05/x
  3. Step 3: Cross multiply
    27,451.85x = 41,178.85 × 12,456.05
  4. Step 4: Simplify right side
    27,451.85x = 512,925,577.51
  5. Step 5: Solve for x
    x = 512,925,577.51/27,451.85
  6. Step 6: Final answer
    x = 18,684.56

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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.