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Finding the Fourth Proportional to 27,549.33, 41,324.34 and 7,827.86

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Solution

The fourth proportional to 27,549.33, 41,324.34 and 7,827.86 is: 11,741.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,549.33 : 41,324.34 = 7,827.86 : x
  2. Step 2: Convert to fraction form
    27,549.33/41,324.34 = 7,827.86/x
  3. Step 3: Cross multiply
    27,549.33x = 41,324.34 × 7,827.86
  4. Step 4: Simplify right side
    27,549.33x = 323,480,941.49
  5. Step 5: Solve for x
    x = 323,480,941.49/27,549.33
  6. Step 6: Final answer
    x = 11,741.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.