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Finding the Fourth Proportional to 20,999.84, 31,498.56 and 5,418.24

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Solution

The fourth proportional to 20,999.84, 31,498.56 and 5,418.24 is: 8,127.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,999.84 : 31,498.56 = 5,418.24 : x
  2. Step 2: Convert to fraction form
    20,999.84/31,498.56 = 5,418.24/x
  3. Step 3: Cross multiply
    20,999.84x = 31,498.56 × 5,418.24
  4. Step 4: Simplify right side
    20,999.84x = 170,666,757.73
  5. Step 5: Solve for x
    x = 170,666,757.73/20,999.84
  6. Step 6: Final answer
    x = 8,127.05

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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.