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Finding the Fourth Proportional to 15,997.82, 23,997.29 and 4,311.32

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Solution

The fourth proportional to 15,997.82, 23,997.29 and 4,311.32 is: 6,467.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,997.82 : 23,997.29 = 4,311.32 : x
  2. Step 2: Convert to fraction form
    15,997.82/23,997.29 = 4,311.32/x
  3. Step 3: Cross multiply
    15,997.82x = 23,997.29 × 4,311.32
  4. Step 4: Simplify right side
    15,997.82x = 103,459,854.78
  5. Step 5: Solve for x
    x = 103,459,854.78/15,997.82
  6. Step 6: Final answer
    x = 6,467.12

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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.