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Finding the Fourth Proportional to 27,452.63, 41,194.51 and 12,661.55

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Solution

The fourth proportional to 27,452.63, 41,194.51 and 12,661.55 is: 18,999.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,452.63 : 41,194.51 = 12,661.55 : x
  2. Step 2: Convert to fraction form
    27,452.63/41,194.51 = 12,661.55/x
  3. Step 3: Cross multiply
    27,452.63x = 41,194.51 × 12,661.55
  4. Step 4: Simplify right side
    27,452.63x = 521,586,264.94
  5. Step 5: Solve for x
    x = 521,586,264.94/27,452.63
  6. Step 6: Final answer
    x = 18,999.50

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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.