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Finding the Fourth Proportional to 27,859.50, 41,800.14 and 12,266.19

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Solution

The fourth proportional to 27,859.50, 41,800.14 and 12,266.19 is: 18,404.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,859.50 : 41,800.14 = 12,266.19 : x
  2. Step 2: Convert to fraction form
    27,859.50/41,800.14 = 12,266.19/x
  3. Step 3: Cross multiply
    27,859.50x = 41,800.14 × 12,266.19
  4. Step 4: Simplify right side
    27,859.50x = 512,728,459.27
  5. Step 5: Solve for x
    x = 512,728,459.27/27,859.50
  6. Step 6: Final answer
    x = 18,404.08

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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.