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Finding the Fourth Proportional to 21,231.53, 31,847.19 and 5,436.53

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Solution

The fourth proportional to 21,231.53, 31,847.19 and 5,436.53 is: 8,154.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,231.53 : 31,847.19 = 5,436.53 : x
  2. Step 2: Convert to fraction form
    21,231.53/31,847.19 = 5,436.53/x
  3. Step 3: Cross multiply
    21,231.53x = 31,847.19 × 5,436.53
  4. Step 4: Simplify right side
    21,231.53x = 173,138,330.44
  5. Step 5: Solve for x
    x = 173,138,330.44/21,231.53
  6. Step 6: Final answer
    x = 8,154.77

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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.