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Finding the Fourth Proportional to 13,183.60, 19,746.60 and 10,238.80

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Solution

The fourth proportional to 13,183.60, 19,746.60 and 10,238.80 is: 15,335.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,183.60 : 19,746.60 = 10,238.80 : x
  2. Step 2: Convert to fraction form
    13,183.60/19,746.60 = 10,238.80/x
  3. Step 3: Cross multiply
    13,183.60x = 19,746.60 × 10,238.80
  4. Step 4: Simplify right side
    13,183.60x = 202,181,488.08
  5. Step 5: Solve for x
    x = 202,181,488.08/13,183.60
  6. Step 6: Final answer
    x = 15,335.83

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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.