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Finding the Fourth Proportional to 20,586.84, 30,880.24 and 7,439.16

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Solution

The fourth proportional to 20,586.84, 30,880.24 and 7,439.16 is: 11,158.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,586.84 : 30,880.24 = 7,439.16 : x
  2. Step 2: Convert to fraction form
    20,586.84/30,880.24 = 7,439.16/x
  3. Step 3: Cross multiply
    20,586.84x = 30,880.24 × 7,439.16
  4. Step 4: Simplify right side
    20,586.84x = 229,723,046.20
  5. Step 5: Solve for x
    x = 229,723,046.20/20,586.84
  6. Step 6: Final answer
    x = 11,158.73

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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.