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Finding the Fourth Proportional to 20,105.63, 30,153.86 and 7,627.04

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Solution

The fourth proportional to 20,105.63, 30,153.86 and 7,627.04 is: 11,438.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,105.63 : 30,153.86 = 7,627.04 : x
  2. Step 2: Convert to fraction form
    20,105.63/30,153.86 = 7,627.04/x
  3. Step 3: Cross multiply
    20,105.63x = 30,153.86 × 7,627.04
  4. Step 4: Simplify right side
    20,105.63x = 229,984,658.24
  5. Step 5: Solve for x
    x = 229,984,658.24/20,105.63
  6. Step 6: Final answer
    x = 11,438.82

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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.