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Finding the Fourth Proportional to 12,517.30, 18,776.02 and 4,197.96

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Solution

The fourth proportional to 12,517.30, 18,776.02 and 4,197.96 is: 6,296.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,517.30 : 18,776.02 = 4,197.96 : x
  2. Step 2: Convert to fraction form
    12,517.30/18,776.02 = 4,197.96/x
  3. Step 3: Cross multiply
    12,517.30x = 18,776.02 × 4,197.96
  4. Step 4: Simplify right side
    12,517.30x = 78,820,980.92
  5. Step 5: Solve for x
    x = 78,820,980.92/12,517.30
  6. Step 6: Final answer
    x = 6,296.96

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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.