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Finding the Fourth Proportional to 20,478.36, 30,703.97 and 7,999.57

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Solution

The fourth proportional to 20,478.36, 30,703.97 and 7,999.57 is: 11,994.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,478.36 : 30,703.97 = 7,999.57 : x
  2. Step 2: Convert to fraction form
    20,478.36/30,703.97 = 7,999.57/x
  3. Step 3: Cross multiply
    20,478.36x = 30,703.97 × 7,999.57
  4. Step 4: Simplify right side
    20,478.36x = 245,618,500.53
  5. Step 5: Solve for x
    x = 245,618,500.53/20,478.36
  6. Step 6: Final answer
    x = 11,994.05

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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.