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Finding the Fourth Proportional to 13,228.96, 19,843.44 and 10,309.46

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Solution

The fourth proportional to 13,228.96, 19,843.44 and 10,309.46 is: 15,464.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,228.96 : 19,843.44 = 10,309.46 : x
  2. Step 2: Convert to fraction form
    13,228.96/19,843.44 = 10,309.46/x
  3. Step 3: Cross multiply
    13,228.96x = 19,843.44 × 10,309.46
  4. Step 4: Simplify right side
    13,228.96x = 204,575,150.94
  5. Step 5: Solve for x
    x = 204,575,150.94/13,228.96
  6. Step 6: Final answer
    x = 15,464.19

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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.