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Finding the Fourth Proportional to 11,622.60, 17,424.14 and 8,102.26

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Solution

The fourth proportional to 11,622.60, 17,424.14 and 8,102.26 is: 12,146.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,622.60 : 17,424.14 = 8,102.26 : x
  2. Step 2: Convert to fraction form
    11,622.60/17,424.14 = 8,102.26/x
  3. Step 3: Cross multiply
    11,622.60x = 17,424.14 × 8,102.26
  4. Step 4: Simplify right side
    11,622.60x = 141,174,912.56
  5. Step 5: Solve for x
    x = 141,174,912.56/11,622.60
  6. Step 6: Final answer
    x = 12,146.59

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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.