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Finding the Fourth Proportional to 20,929.89, 31,398.84 and 6,893.99

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Solution

The fourth proportional to 20,929.89, 31,398.84 and 6,893.99 is: 10,342.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,929.89 : 31,398.84 = 6,893.99 : x
  2. Step 2: Convert to fraction form
    20,929.89/31,398.84 = 6,893.99/x
  3. Step 3: Cross multiply
    20,929.89x = 31,398.84 × 6,893.99
  4. Step 4: Simplify right side
    20,929.89x = 216,463,161.41
  5. Step 5: Solve for x
    x = 216,463,161.41/20,929.89
  6. Step 6: Final answer
    x = 10,342.30

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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.