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Finding the Fourth Proportional to 20,803.82, 31,202.66 and 7,653.12

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Solution

The fourth proportional to 20,803.82, 31,202.66 and 7,653.12 is: 11,478.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,803.82 : 31,202.66 = 7,653.12 : x
  2. Step 2: Convert to fraction form
    20,803.82/31,202.66 = 7,653.12/x
  3. Step 3: Cross multiply
    20,803.82x = 31,202.66 × 7,653.12
  4. Step 4: Simplify right side
    20,803.82x = 238,797,546.02
  5. Step 5: Solve for x
    x = 238,797,546.02/20,803.82
  6. Step 6: Final answer
    x = 11,478.54

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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.