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Finding the Fourth Proportional to 20,325.82, 30,471.21 and 7,854.59

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Solution

The fourth proportional to 20,325.82, 30,471.21 and 7,854.59 is: 11,775.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,325.82 : 30,471.21 = 7,854.59 : x
  2. Step 2: Convert to fraction form
    20,325.82/30,471.21 = 7,854.59/x
  3. Step 3: Cross multiply
    20,325.82x = 30,471.21 × 7,854.59
  4. Step 4: Simplify right side
    20,325.82x = 239,338,908.08
  5. Step 5: Solve for x
    x = 239,338,908.08/20,325.82
  6. Step 6: Final answer
    x = 11,775.12

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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.