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Finding the Fourth Proportional to 27,224.26, 40,827.75 and 8,751.94

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Solution

The fourth proportional to 27,224.26, 40,827.75 and 8,751.94 is: 13,125.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,224.26 : 40,827.75 = 8,751.94 : x
  2. Step 2: Convert to fraction form
    27,224.26/40,827.75 = 8,751.94/x
  3. Step 3: Cross multiply
    27,224.26x = 40,827.75 × 8,751.94
  4. Step 4: Simplify right side
    27,224.26x = 357,321,883.45
  5. Step 5: Solve for x
    x = 357,321,883.45/27,224.26
  6. Step 6: Final answer
    x = 13,125.13

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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.