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Finding the Fourth Proportional to 12,172.62, 18,266.13 and 5,152.26

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Solution

The fourth proportional to 12,172.62, 18,266.13 and 5,152.26 is: 7,731.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,172.62 : 18,266.13 = 5,152.26 : x
  2. Step 2: Convert to fraction form
    12,172.62/18,266.13 = 5,152.26/x
  3. Step 3: Cross multiply
    12,172.62x = 18,266.13 × 5,152.26
  4. Step 4: Simplify right side
    12,172.62x = 94,111,850.95
  5. Step 5: Solve for x
    x = 94,111,850.95/12,172.62
  6. Step 6: Final answer
    x = 7,731.44

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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.