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Finding the Fourth Proportional to 19,929, 29,892.27 and 8,233.83

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Solution

The fourth proportional to 19,929, 29,892.27 and 8,233.83 is: 12,350.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,929 : 29,892.27 = 8,233.83 : x
  2. Step 2: Convert to fraction form
    19,929/29,892.27 = 8,233.83/x
  3. Step 3: Cross multiply
    19,929x = 29,892.27 × 8,233.83
  4. Step 4: Simplify right side
    19,929x = 246,127,869.49
  5. Step 5: Solve for x
    x = 246,127,869.49/19,929
  6. Step 6: Final answer
    x = 12,350.24

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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.