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Finding the Fourth Proportional to 13,225.78, 19,832.82 and 6,200.12

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Solution

The fourth proportional to 13,225.78, 19,832.82 and 6,200.12 is: 9,297.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,225.78 : 19,832.82 = 6,200.12 : x
  2. Step 2: Convert to fraction form
    13,225.78/19,832.82 = 6,200.12/x
  3. Step 3: Cross multiply
    13,225.78x = 19,832.82 × 6,200.12
  4. Step 4: Simplify right side
    13,225.78x = 122,965,863.94
  5. Step 5: Solve for x
    x = 122,965,863.94/13,225.78
  6. Step 6: Final answer
    x = 9,297.44

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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.