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Finding the Fourth Proportional to 12,517.20, 18,781.74 and 6,277.77

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Solution

The fourth proportional to 12,517.20, 18,781.74 and 6,277.77 is: 9,419.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,517.20 : 18,781.74 = 6,277.77 : x
  2. Step 2: Convert to fraction form
    12,517.20/18,781.74 = 6,277.77/x
  3. Step 3: Cross multiply
    12,517.20x = 18,781.74 × 6,277.77
  4. Step 4: Simplify right side
    12,517.20x = 117,907,443.92
  5. Step 5: Solve for x
    x = 117,907,443.92/12,517.20
  6. Step 6: Final answer
    x = 9,419.63

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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.