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Finding the Fourth Proportional to 27,872.57, 41,810.21 and 8,899.23

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Solution

The fourth proportional to 27,872.57, 41,810.21 and 8,899.23 is: 13,349.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,872.57 : 41,810.21 = 8,899.23 : x
  2. Step 2: Convert to fraction form
    27,872.57/41,810.21 = 8,899.23/x
  3. Step 3: Cross multiply
    27,872.57x = 41,810.21 × 8,899.23
  4. Step 4: Simplify right side
    27,872.57x = 372,078,820.80
  5. Step 5: Solve for x
    x = 372,078,820.80/27,872.57
  6. Step 6: Final answer
    x = 13,349.28

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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.