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Finding the Fourth Proportional to 13,196.96, 19,797.60 and 6,269.12

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Solution

The fourth proportional to 13,196.96, 19,797.60 and 6,269.12 is: 9,404.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,196.96 : 19,797.60 = 6,269.12 : x
  2. Step 2: Convert to fraction form
    13,196.96/19,797.60 = 6,269.12/x
  3. Step 3: Cross multiply
    13,196.96x = 19,797.60 × 6,269.12
  4. Step 4: Simplify right side
    13,196.96x = 124,113,530.11
  5. Step 5: Solve for x
    x = 124,113,530.11/13,196.96
  6. Step 6: Final answer
    x = 9,404.71

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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.