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Finding the Fourth Proportional to 20,803.26, 31,203.90 and 7,654.68

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Solution

The fourth proportional to 20,803.26, 31,203.90 and 7,654.68 is: 11,481.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,803.26 : 31,203.90 = 7,654.68 : x
  2. Step 2: Convert to fraction form
    20,803.26/31,203.90 = 7,654.68/x
  3. Step 3: Cross multiply
    20,803.26x = 31,203.90 × 7,654.68
  4. Step 4: Simplify right side
    20,803.26x = 238,855,869.25
  5. Step 5: Solve for x
    x = 238,855,869.25/20,803.26
  6. Step 6: Final answer
    x = 11,481.66

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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.