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Finding the Fourth Proportional to 20,000.96, 29,994.84 and 6,853.04

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Solution

The fourth proportional to 20,000.96, 29,994.84 and 6,853.04 is: 10,277.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,000.96 : 29,994.84 = 6,853.04 : x
  2. Step 2: Convert to fraction form
    20,000.96/29,994.84 = 6,853.04/x
  3. Step 3: Cross multiply
    20,000.96x = 29,994.84 × 6,853.04
  4. Step 4: Simplify right side
    20,000.96x = 205,555,838.31
  5. Step 5: Solve for x
    x = 205,555,838.31/20,000.96
  6. Step 6: Final answer
    x = 10,277.30

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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.