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Finding the Fourth Proportional to 27,218.50, 40,832.52 and 12,428.91

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Solution

The fourth proportional to 27,218.50, 40,832.52 and 12,428.91 is: 18,645.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,218.50 : 40,832.52 = 12,428.91 : x
  2. Step 2: Convert to fraction form
    27,218.50/40,832.52 = 12,428.91/x
  3. Step 3: Cross multiply
    27,218.50x = 40,832.52 × 12,428.91
  4. Step 4: Simplify right side
    27,218.50x = 507,503,716.15
  5. Step 5: Solve for x
    x = 507,503,716.15/27,218.50
  6. Step 6: Final answer
    x = 18,645.54

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Why These Related Problems?

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