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Finding the Fourth Proportional to 20,221.80, 30,333.60 and 6,894.60

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Solution

The fourth proportional to 20,221.80, 30,333.60 and 6,894.60 is: 10,342.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,221.80 : 30,333.60 = 6,894.60 : x
  2. Step 2: Convert to fraction form
    20,221.80/30,333.60 = 6,894.60/x
  3. Step 3: Cross multiply
    20,221.80x = 30,333.60 × 6,894.60
  4. Step 4: Simplify right side
    20,221.80x = 209,138,038.56
  5. Step 5: Solve for x
    x = 209,138,038.56/20,221.80
  6. Step 6: Final answer
    x = 10,342.21

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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.