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Finding the Fourth Proportional to 13,230.90, 19,846.35 and 10,311.39

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Solution

The fourth proportional to 13,230.90, 19,846.35 and 10,311.39 is: 15,467.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,230.90 : 19,846.35 = 10,311.39 : x
  2. Step 2: Convert to fraction form
    13,230.90/19,846.35 = 10,311.39/x
  3. Step 3: Cross multiply
    13,230.90x = 19,846.35 × 10,311.39
  4. Step 4: Simplify right side
    13,230.90x = 204,643,454.93
  5. Step 5: Solve for x
    x = 204,643,454.93/13,230.90
  6. Step 6: Final answer
    x = 15,467.09

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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.