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Finding the Fourth Proportional to 11,964.60, 17,945.46 and 3,200.22

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Solution

The fourth proportional to 11,964.60, 17,945.46 and 3,200.22 is: 4,799.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,964.60 : 17,945.46 = 3,200.22 : x
  2. Step 2: Convert to fraction form
    11,964.60/17,945.46 = 3,200.22/x
  3. Step 3: Cross multiply
    11,964.60x = 17,945.46 × 3,200.22
  4. Step 4: Simplify right side
    11,964.60x = 57,429,420.00
  5. Step 5: Solve for x
    x = 57,429,420.00/11,964.60
  6. Step 6: Final answer
    x = 4,799.94

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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.