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Finding the Fourth Proportional to 13,064.95, 19,611.26 and 8,138.05

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Solution

The fourth proportional to 13,064.95, 19,611.26 and 8,138.05 is: 12,215.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,064.95 : 19,611.26 = 8,138.05 : x
  2. Step 2: Convert to fraction form
    13,064.95/19,611.26 = 8,138.05/x
  3. Step 3: Cross multiply
    13,064.95x = 19,611.26 × 8,138.05
  4. Step 4: Simplify right side
    13,064.95x = 159,597,414.44
  5. Step 5: Solve for x
    x = 159,597,414.44/13,064.95
  6. Step 6: Final answer
    x = 12,215.69

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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.