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Finding the Fourth Proportional to 17,099.64, 25,640.52 and 7,735.18

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Solution

The fourth proportional to 17,099.64, 25,640.52 and 7,735.18 is: 11,598.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,099.64 : 25,640.52 = 7,735.18 : x
  2. Step 2: Convert to fraction form
    17,099.64/25,640.52 = 7,735.18/x
  3. Step 3: Cross multiply
    17,099.64x = 25,640.52 × 7,735.18
  4. Step 4: Simplify right side
    17,099.64x = 198,334,037.49
  5. Step 5: Solve for x
    x = 198,334,037.49/17,099.64
  6. Step 6: Final answer
    x = 11,598.73

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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.