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Finding the Fourth Proportional to 12,192.96, 18,296.46 and 5,172.42

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Solution

The fourth proportional to 12,192.96, 18,296.46 and 5,172.42 is: 7,761.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,192.96 : 18,296.46 = 5,172.42 : x
  2. Step 2: Convert to fraction form
    12,192.96/18,296.46 = 5,172.42/x
  3. Step 3: Cross multiply
    12,192.96x = 18,296.46 × 5,172.42
  4. Step 4: Simplify right side
    12,192.96x = 94,636,975.63
  5. Step 5: Solve for x
    x = 94,636,975.63/12,192.96
  6. Step 6: Final answer
    x = 7,761.61

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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.