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Finding the Fourth Proportional to 13,092.60, 19,633.14 and 3,856.44

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Solution

The fourth proportional to 13,092.60, 19,633.14 and 3,856.44 is: 5,782.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,092.60 : 19,633.14 = 3,856.44 : x
  2. Step 2: Convert to fraction form
    13,092.60/19,633.14 = 3,856.44/x
  3. Step 3: Cross multiply
    13,092.60x = 19,633.14 × 3,856.44
  4. Step 4: Simplify right side
    13,092.60x = 75,714,026.42
  5. Step 5: Solve for x
    x = 75,714,026.42/13,092.60
  6. Step 6: Final answer
    x = 5,782.96

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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.