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Finding the Fourth Proportional to 21,887.33, 32,834.24 and 8,035.25

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Solution

The fourth proportional to 21,887.33, 32,834.24 and 8,035.25 is: 12,054.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,887.33 : 32,834.24 = 8,035.25 : x
  2. Step 2: Convert to fraction form
    21,887.33/32,834.24 = 8,035.25/x
  3. Step 3: Cross multiply
    21,887.33x = 32,834.24 × 8,035.25
  4. Step 4: Simplify right side
    21,887.33x = 263,831,286.78
  5. Step 5: Solve for x
    x = 263,831,286.78/21,887.33
  6. Step 6: Final answer
    x = 12,054.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.