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Finding the Fourth Proportional to 23,834.33, 32,889.94 and 13,223.33

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Solution

The fourth proportional to 23,834.33, 32,889.94 and 13,223.33 is: 18,247.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,834.33 : 32,889.94 = 13,223.33 : x
  2. Step 2: Convert to fraction form
    23,834.33/32,889.94 = 13,223.33/x
  3. Step 3: Cross multiply
    23,834.33x = 32,889.94 × 13,223.33
  4. Step 4: Simplify right side
    23,834.33x = 434,914,530.30
  5. Step 5: Solve for x
    x = 434,914,530.30/23,834.33
  6. Step 6: Final answer
    x = 18,247.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.