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Finding the Fourth Proportional to 23,339.26, 32,214 and 13,906

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Solution

The fourth proportional to 23,339.26, 32,214 and 13,906 is: 19,193.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,339.26 : 32,214 = 13,906 : x
  2. Step 2: Convert to fraction form
    23,339.26/32,214 = 13,906/x
  3. Step 3: Cross multiply
    23,339.26x = 32,214 × 13,906
  4. Step 4: Simplify right side
    23,339.26x = 447,967,884
  5. Step 5: Solve for x
    x = 447,967,884/23,339.26
  6. Step 6: Final answer
    x = 19,193.75

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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.