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Finding the Fourth Proportional to 12,190.49, 18,292.35 and 5,174.45

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Solution

The fourth proportional to 12,190.49, 18,292.35 and 5,174.45 is: 7,764.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,190.49 : 18,292.35 = 5,174.45 : x
  2. Step 2: Convert to fraction form
    12,190.49/18,292.35 = 5,174.45/x
  3. Step 3: Cross multiply
    12,190.49x = 18,292.35 × 5,174.45
  4. Step 4: Simplify right side
    12,190.49x = 94,652,850.46
  5. Step 5: Solve for x
    x = 94,652,850.46/12,190.49
  6. Step 6: Final answer
    x = 7,764.48

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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.