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Finding the Fourth Proportional to 13,205.11, 19,794.32 and 8,278.20

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Solution

The fourth proportional to 13,205.11, 19,794.32 and 8,278.20 is: 12,408.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205.11 : 19,794.32 = 8,278.20 : x
  2. Step 2: Convert to fraction form
    13,205.11/19,794.32 = 8,278.20/x
  3. Step 3: Cross multiply
    13,205.11x = 19,794.32 × 8,278.20
  4. Step 4: Simplify right side
    13,205.11x = 163,861,339.82
  5. Step 5: Solve for x
    x = 163,861,339.82/13,205.11
  6. Step 6: Final answer
    x = 12,408.93

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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.