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Finding the Fourth Proportional to 17,099.44, 25,649 and 9,205.64

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Solution

The fourth proportional to 17,099.44, 25,649 and 9,205.64 is: 13,808.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,099.44 : 25,649 = 9,205.64 : x
  2. Step 2: Convert to fraction form
    17,099.44/25,649 = 9,205.64/x
  3. Step 3: Cross multiply
    17,099.44x = 25,649 × 9,205.64
  4. Step 4: Simplify right side
    17,099.44x = 236,115,460.36
  5. Step 5: Solve for x
    x = 236,115,460.36/17,099.44
  6. Step 6: Final answer
    x = 13,808.37

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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.