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Finding the Fourth Proportional to 27,462.63, 41,191.86 and 8,743.26

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Solution

The fourth proportional to 27,462.63, 41,191.86 and 8,743.26 is: 13,114.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,462.63 : 41,191.86 = 8,743.26 : x
  2. Step 2: Convert to fraction form
    27,462.63/41,191.86 = 8,743.26/x
  3. Step 3: Cross multiply
    27,462.63x = 41,191.86 × 8,743.26
  4. Step 4: Simplify right side
    27,462.63x = 360,151,141.86
  5. Step 5: Solve for x
    x = 360,151,141.86/27,462.63
  6. Step 6: Final answer
    x = 13,114.23

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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.