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Finding the Fourth Proportional to 12,261.95, 18,392.83 and 8,120.49

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Solution

The fourth proportional to 12,261.95, 18,392.83 and 8,120.49 is: 12,180.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,261.95 : 18,392.83 = 8,120.49 : x
  2. Step 2: Convert to fraction form
    12,261.95/18,392.83 = 8,120.49/x
  3. Step 3: Cross multiply
    12,261.95x = 18,392.83 × 8,120.49
  4. Step 4: Simplify right side
    12,261.95x = 149,358,751.48
  5. Step 5: Solve for x
    x = 149,358,751.48/12,261.95
  6. Step 6: Final answer
    x = 12,180.67

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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.