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Finding the Fourth Proportional to 12,986.36, 19,481.42 and 4,098.68

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Solution

The fourth proportional to 12,986.36, 19,481.42 and 4,098.68 is: 6,148.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,986.36 : 19,481.42 = 4,098.68 : x
  2. Step 2: Convert to fraction form
    12,986.36/19,481.42 = 4,098.68/x
  3. Step 3: Cross multiply
    12,986.36x = 19,481.42 × 4,098.68
  4. Step 4: Simplify right side
    12,986.36x = 79,848,106.53
  5. Step 5: Solve for x
    x = 79,848,106.53/12,986.36
  6. Step 6: Final answer
    x = 6,148.61

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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.