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Finding the Fourth Proportional to 19,410.30, 29,115.46 and 8,309.78

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Solution

The fourth proportional to 19,410.30, 29,115.46 and 8,309.78 is: 12,464.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,410.30 : 29,115.46 = 8,309.78 : x
  2. Step 2: Convert to fraction form
    19,410.30/29,115.46 = 8,309.78/x
  3. Step 3: Cross multiply
    19,410.30x = 29,115.46 × 8,309.78
  4. Step 4: Simplify right side
    19,410.30x = 241,943,067.20
  5. Step 5: Solve for x
    x = 241,943,067.20/19,410.30
  6. Step 6: Final answer
    x = 12,464.67

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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.