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Finding the Fourth Proportional to 27,822.56, 41,729.31 and 9,102.31

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Solution

The fourth proportional to 27,822.56, 41,729.31 and 9,102.31 is: 13,651.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,822.56 : 41,729.31 = 9,102.31 : x
  2. Step 2: Convert to fraction form
    27,822.56/41,729.31 = 9,102.31/x
  3. Step 3: Cross multiply
    27,822.56x = 41,729.31 × 9,102.31
  4. Step 4: Simplify right side
    27,822.56x = 379,833,011.38
  5. Step 5: Solve for x
    x = 379,833,011.38/27,822.56
  6. Step 6: Final answer
    x = 13,651.98

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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.