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Finding the Fourth Proportional to 12,847.85, 17,709.93 and 11,816.84

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Solution

The fourth proportional to 12,847.85, 17,709.93 and 11,816.84 is: 16,288.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,847.85 : 17,709.93 = 11,816.84 : x
  2. Step 2: Convert to fraction form
    12,847.85/17,709.93 = 11,816.84/x
  3. Step 3: Cross multiply
    12,847.85x = 17,709.93 × 11,816.84
  4. Step 4: Simplify right side
    12,847.85x = 209,275,453.50
  5. Step 5: Solve for x
    x = 209,275,453.50/12,847.85
  6. Step 6: Final answer
    x = 16,288.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.