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Finding the Fourth Proportional to 21,578.67, 29,761.52 and 14,125.23

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Solution

The fourth proportional to 21,578.67, 29,761.52 and 14,125.23 is: 19,481.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,578.67 : 29,761.52 = 14,125.23 : x
  2. Step 2: Convert to fraction form
    21,578.67/29,761.52 = 14,125.23/x
  3. Step 3: Cross multiply
    21,578.67x = 29,761.52 × 14,125.23
  4. Step 4: Simplify right side
    21,578.67x = 420,388,244.52
  5. Step 5: Solve for x
    x = 420,388,244.52/21,578.67
  6. Step 6: Final answer
    x = 19,481.66

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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.