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Finding the Fourth Proportional to 12,449.36, 18,630.16 and 7,771.57

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Solution

The fourth proportional to 12,449.36, 18,630.16 and 7,771.57 is: 11,629.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,449.36 : 18,630.16 = 7,771.57 : x
  2. Step 2: Convert to fraction form
    12,449.36/18,630.16 = 7,771.57/x
  3. Step 3: Cross multiply
    12,449.36x = 18,630.16 × 7,771.57
  4. Step 4: Simplify right side
    12,449.36x = 144,785,592.55
  5. Step 5: Solve for x
    x = 144,785,592.55/12,449.36
  6. Step 6: Final answer
    x = 11,629.96

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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.