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Finding the Fourth Proportional to 20,848.13, 31,276.13 and 8,369.13

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Solution

The fourth proportional to 20,848.13, 31,276.13 and 8,369.13 is: 12,555.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,848.13 : 31,276.13 = 8,369.13 : x
  2. Step 2: Convert to fraction form
    20,848.13/31,276.13 = 8,369.13/x
  3. Step 3: Cross multiply
    20,848.13x = 31,276.13 × 8,369.13
  4. Step 4: Simplify right side
    20,848.13x = 261,753,997.87
  5. Step 5: Solve for x
    x = 261,753,997.87/20,848.13
  6. Step 6: Final answer
    x = 12,555.27

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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.