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Finding the Fourth Proportional to 27,102.21, 40,657.13 and 8,383.87

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Solution

The fourth proportional to 27,102.21, 40,657.13 and 8,383.87 is: 12,576.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,102.21 : 40,657.13 = 8,383.87 : x
  2. Step 2: Convert to fraction form
    27,102.21/40,657.13 = 8,383.87/x
  3. Step 3: Cross multiply
    27,102.21x = 40,657.13 × 8,383.87
  4. Step 4: Simplify right side
    27,102.21x = 340,864,092.49
  5. Step 5: Solve for x
    x = 340,864,092.49/27,102.21
  6. Step 6: Final answer
    x = 12,576.99

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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.