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Finding the Fourth Proportional to 21,562.10, 32,329.87 and 8,399.14

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Solution

The fourth proportional to 21,562.10, 32,329.87 and 8,399.14 is: 12,593.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,562.10 : 32,329.87 = 8,399.14 : x
  2. Step 2: Convert to fraction form
    21,562.10/32,329.87 = 8,399.14/x
  3. Step 3: Cross multiply
    21,562.10x = 32,329.87 × 8,399.14
  4. Step 4: Simplify right side
    21,562.10x = 271,543,104.31
  5. Step 5: Solve for x
    x = 271,543,104.31/21,562.10
  6. Step 6: Final answer
    x = 12,593.54

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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.