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Finding the Fourth Proportional to 20,102.69, 30,153.16 and 6,774.80

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Solution

The fourth proportional to 20,102.69, 30,153.16 and 6,774.80 is: 10,161.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,102.69 : 30,153.16 = 6,774.80 : x
  2. Step 2: Convert to fraction form
    20,102.69/30,153.16 = 6,774.80/x
  3. Step 3: Cross multiply
    20,102.69x = 30,153.16 × 6,774.80
  4. Step 4: Simplify right side
    20,102.69x = 204,281,594.49
  5. Step 5: Solve for x
    x = 204,281,594.49/20,102.69
  6. Step 6: Final answer
    x = 10,161.91

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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.