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Finding the Fourth Proportional to 16,721.25, 25,083.09 and 6,333

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Solution

The fourth proportional to 16,721.25, 25,083.09 and 6,333 is: 9,499.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,721.25 : 25,083.09 = 6,333 : x
  2. Step 2: Convert to fraction form
    16,721.25/25,083.09 = 6,333/x
  3. Step 3: Cross multiply
    16,721.25x = 25,083.09 × 6,333
  4. Step 4: Simplify right side
    16,721.25x = 158,851,208.97
  5. Step 5: Solve for x
    x = 158,851,208.97/16,721.25
  6. Step 6: Final answer
    x = 9,499.96

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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.