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Finding the Fourth Proportional to 17,098.64, 25,641.82 and 7,238.62

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Solution

The fourth proportional to 17,098.64, 25,641.82 and 7,238.62 is: 10,855.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,098.64 : 25,641.82 = 7,238.62 : x
  2. Step 2: Convert to fraction form
    17,098.64/25,641.82 = 7,238.62/x
  3. Step 3: Cross multiply
    17,098.64x = 25,641.82 × 7,238.62
  4. Step 4: Simplify right side
    17,098.64x = 185,611,247.24
  5. Step 5: Solve for x
    x = 185,611,247.24/17,098.64
  6. Step 6: Final answer
    x = 10,855.32

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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.