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Finding the Fourth Proportional to 13,098.26, 19,651.22 and 4,213.39

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Solution

The fourth proportional to 13,098.26, 19,651.22 and 4,213.39 is: 6,321.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,098.26 : 19,651.22 = 4,213.39 : x
  2. Step 2: Convert to fraction form
    13,098.26/19,651.22 = 4,213.39/x
  3. Step 3: Cross multiply
    13,098.26x = 19,651.22 × 4,213.39
  4. Step 4: Simplify right side
    13,098.26x = 82,798,253.84
  5. Step 5: Solve for x
    x = 82,798,253.84/13,098.26
  6. Step 6: Final answer
    x = 6,321.32

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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.