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Finding the Fourth Proportional to 12,170.34, 18,255.70 and 5,149.48

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Solution

The fourth proportional to 12,170.34, 18,255.70 and 5,149.48 is: 7,724.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,170.34 : 18,255.70 = 5,149.48 : x
  2. Step 2: Convert to fraction form
    12,170.34/18,255.70 = 5,149.48/x
  3. Step 3: Cross multiply
    12,170.34x = 18,255.70 × 5,149.48
  4. Step 4: Simplify right side
    12,170.34x = 94,007,362.04
  5. Step 5: Solve for x
    x = 94,007,362.04/12,170.34
  6. Step 6: Final answer
    x = 7,724.30

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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.