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Finding the Fourth Proportional to 17,099.52, 25,634.10 and 9,206.30

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Solution

The fourth proportional to 17,099.52, 25,634.10 and 9,206.30 is: 13,801.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,099.52 : 25,634.10 = 9,206.30 : x
  2. Step 2: Convert to fraction form
    17,099.52/25,634.10 = 9,206.30/x
  3. Step 3: Cross multiply
    17,099.52x = 25,634.10 × 9,206.30
  4. Step 4: Simplify right side
    17,099.52x = 235,995,214.83
  5. Step 5: Solve for x
    x = 235,995,214.83/17,099.52
  6. Step 6: Final answer
    x = 13,801.28

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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.