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Finding the Fourth Proportional to 12,650.14, 18,953.34 and 9,839.85

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Solution

The fourth proportional to 12,650.14, 18,953.34 and 9,839.85 is: 14,742.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,650.14 : 18,953.34 = 9,839.85 : x
  2. Step 2: Convert to fraction form
    12,650.14/18,953.34 = 9,839.85/x
  3. Step 3: Cross multiply
    12,650.14x = 18,953.34 × 9,839.85
  4. Step 4: Simplify right side
    12,650.14x = 186,498,022.60
  5. Step 5: Solve for x
    x = 186,498,022.60/12,650.14
  6. Step 6: Final answer
    x = 14,742.76

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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.