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Finding the Fourth Proportional to 13,197.64, 19,770.94 and 7,336.48

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Solution

The fourth proportional to 13,197.64, 19,770.94 and 7,336.48 is: 10,990.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,197.64 : 19,770.94 = 7,336.48 : x
  2. Step 2: Convert to fraction form
    13,197.64/19,770.94 = 7,336.48/x
  3. Step 3: Cross multiply
    13,197.64x = 19,770.94 × 7,336.48
  4. Step 4: Simplify right side
    13,197.64x = 145,049,178.94
  5. Step 5: Solve for x
    x = 145,049,178.94/13,197.64
  6. Step 6: Final answer
    x = 10,990.54

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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.