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Finding the Fourth Proportional to 27,354.12, 41,033.19 and 9,824.10

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Solution

The fourth proportional to 27,354.12, 41,033.19 and 9,824.10 is: 14,736.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,354.12 : 41,033.19 = 9,824.10 : x
  2. Step 2: Convert to fraction form
    27,354.12/41,033.19 = 9,824.10/x
  3. Step 3: Cross multiply
    27,354.12x = 41,033.19 × 9,824.10
  4. Step 4: Simplify right side
    27,354.12x = 403,114,161.88
  5. Step 5: Solve for x
    x = 403,114,161.88/27,354.12
  6. Step 6: Final answer
    x = 14,736.87

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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.