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Finding the Fourth Proportional to 21,324.83, 31,993.05 and 6,533.42

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Solution

The fourth proportional to 21,324.83, 31,993.05 and 6,533.42 is: 9,801.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,324.83 : 31,993.05 = 6,533.42 : x
  2. Step 2: Convert to fraction form
    21,324.83/31,993.05 = 6,533.42/x
  3. Step 3: Cross multiply
    21,324.83x = 31,993.05 × 6,533.42
  4. Step 4: Simplify right side
    21,324.83x = 209,023,872.77
  5. Step 5: Solve for x
    x = 209,023,872.77/21,324.83
  6. Step 6: Final answer
    x = 9,801.90

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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.