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Finding the Fourth Proportional to 20,322.98, 30,485.66 and 7,843.07

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Solution

The fourth proportional to 20,322.98, 30,485.66 and 7,843.07 is: 11,765.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,322.98 : 30,485.66 = 7,843.07 : x
  2. Step 2: Convert to fraction form
    20,322.98/30,485.66 = 7,843.07/x
  3. Step 3: Cross multiply
    20,322.98x = 30,485.66 × 7,843.07
  4. Step 4: Simplify right side
    20,322.98x = 239,101,165.38
  5. Step 5: Solve for x
    x = 239,101,165.38/20,322.98
  6. Step 6: Final answer
    x = 11,765.06

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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.