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Finding the Fourth Proportional to 12,428.23, 18,644.22 and 4,109.14

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Solution

The fourth proportional to 12,428.23, 18,644.22 and 4,109.14 is: 6,164.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,428.23 : 18,644.22 = 4,109.14 : x
  2. Step 2: Convert to fraction form
    12,428.23/18,644.22 = 4,109.14/x
  3. Step 3: Cross multiply
    12,428.23x = 18,644.22 × 4,109.14
  4. Step 4: Simplify right side
    12,428.23x = 76,611,710.17
  5. Step 5: Solve for x
    x = 76,611,710.17/12,428.23
  6. Step 6: Final answer
    x = 6,164.33

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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.