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Finding the Fourth Proportional to 12,181.77, 18,272.37 and 3,416.43

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Solution

The fourth proportional to 12,181.77, 18,272.37 and 3,416.43 is: 5,124.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,181.77 : 18,272.37 = 3,416.43 : x
  2. Step 2: Convert to fraction form
    12,181.77/18,272.37 = 3,416.43/x
  3. Step 3: Cross multiply
    12,181.77x = 18,272.37 × 3,416.43
  4. Step 4: Simplify right side
    12,181.77x = 62,426,273.04
  5. Step 5: Solve for x
    x = 62,426,273.04/12,181.77
  6. Step 6: Final answer
    x = 5,124.57

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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.