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Finding the Fourth Proportional to 12,170.98, 18,219.47 and 7,791.51

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Solution

The fourth proportional to 12,170.98, 18,219.47 and 7,791.51 is: 11,663.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,170.98 : 18,219.47 = 7,791.51 : x
  2. Step 2: Convert to fraction form
    12,170.98/18,219.47 = 7,791.51/x
  3. Step 3: Cross multiply
    12,170.98x = 18,219.47 × 7,791.51
  4. Step 4: Simplify right side
    12,170.98x = 141,957,202.18
  5. Step 5: Solve for x
    x = 141,957,202.18/12,170.98
  6. Step 6: Final answer
    x = 11,663.58

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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.