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Finding the Fourth Proportional to 20,213.58, 30,320.38 and 7,737.42

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Solution

The fourth proportional to 20,213.58, 30,320.38 and 7,737.42 is: 11,606.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,213.58 : 30,320.38 = 7,737.42 : x
  2. Step 2: Convert to fraction form
    20,213.58/30,320.38 = 7,737.42/x
  3. Step 3: Cross multiply
    20,213.58x = 30,320.38 × 7,737.42
  4. Step 4: Simplify right side
    20,213.58x = 234,601,594.47
  5. Step 5: Solve for x
    x = 234,601,594.47/20,213.58
  6. Step 6: Final answer
    x = 11,606.14

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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.