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Finding the Fourth Proportional to 13,477.70, 20,216.55 and 8,207.30

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Solution

The fourth proportional to 13,477.70, 20,216.55 and 8,207.30 is: 12,310.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,477.70 : 20,216.55 = 8,207.30 : x
  2. Step 2: Convert to fraction form
    13,477.70/20,216.55 = 8,207.30/x
  3. Step 3: Cross multiply
    13,477.70x = 20,216.55 × 8,207.30
  4. Step 4: Simplify right side
    13,477.70x = 165,923,290.82
  5. Step 5: Solve for x
    x = 165,923,290.82/13,477.70
  6. Step 6: Final answer
    x = 12,310.95

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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.