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Finding the Fourth Proportional to 13,398.44, 20,097.66 and 8,237.12

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Solution

The fourth proportional to 13,398.44, 20,097.66 and 8,237.12 is: 12,355.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,398.44 : 20,097.66 = 8,237.12 : x
  2. Step 2: Convert to fraction form
    13,398.44/20,097.66 = 8,237.12/x
  3. Step 3: Cross multiply
    13,398.44x = 20,097.66 × 8,237.12
  4. Step 4: Simplify right side
    13,398.44x = 165,546,837.14
  5. Step 5: Solve for x
    x = 165,546,837.14/13,398.44
  6. Step 6: Final answer
    x = 12,355.68

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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.