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Finding the Fourth Proportional to 16,693.22, 25,046.31 and 6,837.14

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Solution

The fourth proportional to 16,693.22, 25,046.31 and 6,837.14 is: 10,258.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,693.22 : 25,046.31 = 6,837.14 : x
  2. Step 2: Convert to fraction form
    16,693.22/25,046.31 = 6,837.14/x
  3. Step 3: Cross multiply
    16,693.22x = 25,046.31 × 6,837.14
  4. Step 4: Simplify right side
    16,693.22x = 171,245,127.95
  5. Step 5: Solve for x
    x = 171,245,127.95/16,693.22
  6. Step 6: Final answer
    x = 10,258.36

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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.