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Finding the Fourth Proportional to 16,858.88, 25,291.56 and 6,469.82

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Solution

The fourth proportional to 16,858.88, 25,291.56 and 6,469.82 is: 9,705.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,858.88 : 25,291.56 = 6,469.82 : x
  2. Step 2: Convert to fraction form
    16,858.88/25,291.56 = 6,469.82/x
  3. Step 3: Cross multiply
    16,858.88x = 25,291.56 × 6,469.82
  4. Step 4: Simplify right side
    16,858.88x = 163,631,714.26
  5. Step 5: Solve for x
    x = 163,631,714.26/16,858.88
  6. Step 6: Final answer
    x = 9,705.97

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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.