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Finding the Fourth Proportional to 20,894.78, 31,321.50 and 7,743.62

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Solution

The fourth proportional to 20,894.78, 31,321.50 and 7,743.62 is: 11,607.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,894.78 : 31,321.50 = 7,743.62 : x
  2. Step 2: Convert to fraction form
    20,894.78/31,321.50 = 7,743.62/x
  3. Step 3: Cross multiply
    20,894.78x = 31,321.50 × 7,743.62
  4. Step 4: Simplify right side
    20,894.78x = 242,541,793.83
  5. Step 5: Solve for x
    x = 242,541,793.83/20,894.78
  6. Step 6: Final answer
    x = 11,607.77

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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.