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Finding the Fourth Proportional to 21,362.43, 32,022.82 and 8,535.78

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Solution

The fourth proportional to 21,362.43, 32,022.82 and 8,535.78 is: 12,795.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,362.43 : 32,022.82 = 8,535.78 : x
  2. Step 2: Convert to fraction form
    21,362.43/32,022.82 = 8,535.78/x
  3. Step 3: Cross multiply
    21,362.43x = 32,022.82 × 8,535.78
  4. Step 4: Simplify right side
    21,362.43x = 273,339,687.78
  5. Step 5: Solve for x
    x = 273,339,687.78/21,362.43
  6. Step 6: Final answer
    x = 12,795.34

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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.