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Finding the Fourth Proportional to 20,226.72, 30,320.46 and 7,737.12

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Solution

The fourth proportional to 20,226.72, 30,320.46 and 7,737.12 is: 11,598.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,226.72 : 30,320.46 = 7,737.12 : x
  2. Step 2: Convert to fraction form
    20,226.72/30,320.46 = 7,737.12/x
  3. Step 3: Cross multiply
    20,226.72x = 30,320.46 × 7,737.12
  4. Step 4: Simplify right side
    20,226.72x = 234,593,037.48
  5. Step 5: Solve for x
    x = 234,593,037.48/20,226.72
  6. Step 6: Final answer
    x = 11,598.17

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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.