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Finding the Fourth Proportional to 15,998.26, 23,997.40 and 8,202.10

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Solution

The fourth proportional to 15,998.26, 23,997.40 and 8,202.10 is: 12,303.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,998.26 : 23,997.40 = 8,202.10 : x
  2. Step 2: Convert to fraction form
    15,998.26/23,997.40 = 8,202.10/x
  3. Step 3: Cross multiply
    15,998.26x = 23,997.40 × 8,202.10
  4. Step 4: Simplify right side
    15,998.26x = 196,829,074.54
  5. Step 5: Solve for x
    x = 196,829,074.54/15,998.26
  6. Step 6: Final answer
    x = 12,303.16

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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.