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Finding the Fourth Proportional to 13,193.01, 19,788.74 and 3,832.82

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Solution

The fourth proportional to 13,193.01, 19,788.74 and 3,832.82 is: 5,749.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,193.01 : 19,788.74 = 3,832.82 : x
  2. Step 2: Convert to fraction form
    13,193.01/19,788.74 = 3,832.82/x
  3. Step 3: Cross multiply
    13,193.01x = 19,788.74 × 3,832.82
  4. Step 4: Simplify right side
    13,193.01x = 75,846,648.92
  5. Step 5: Solve for x
    x = 75,846,648.92/13,193.01
  6. Step 6: Final answer
    x = 5,749.00

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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.