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Finding the Fourth Proportional to 27,347, 41,021.37 and 8,627.21

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Solution

The fourth proportional to 27,347, 41,021.37 and 8,627.21 is: 12,941.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,347 : 41,021.37 = 8,627.21 : x
  2. Step 2: Convert to fraction form
    27,347/41,021.37 = 8,627.21/x
  3. Step 3: Cross multiply
    27,347x = 41,021.37 × 8,627.21
  4. Step 4: Simplify right side
    27,347x = 353,899,973.48
  5. Step 5: Solve for x
    x = 353,899,973.48/27,347
  6. Step 6: Final answer
    x = 12,941.09

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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.