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Finding the Fourth Proportional to 21,824.38, 32,737.86 and 6,834.30

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Solution

The fourth proportional to 21,824.38, 32,737.86 and 6,834.30 is: 10,251.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,824.38 : 32,737.86 = 6,834.30 : x
  2. Step 2: Convert to fraction form
    21,824.38/32,737.86 = 6,834.30/x
  3. Step 3: Cross multiply
    21,824.38x = 32,737.86 × 6,834.30
  4. Step 4: Simplify right side
    21,824.38x = 223,740,356.60
  5. Step 5: Solve for x
    x = 223,740,356.60/21,824.38
  6. Step 6: Final answer
    x = 10,251.86

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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.