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Finding the Fourth Proportional to 12,181.95, 18,274.07 and 3,416.83

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Solution

The fourth proportional to 12,181.95, 18,274.07 and 3,416.83 is: 5,125.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,181.95 : 18,274.07 = 3,416.83 : x
  2. Step 2: Convert to fraction form
    12,181.95/18,274.07 = 3,416.83/x
  3. Step 3: Cross multiply
    12,181.95x = 18,274.07 × 3,416.83
  4. Step 4: Simplify right side
    12,181.95x = 62,439,353.45
  5. Step 5: Solve for x
    x = 62,439,353.45/12,181.95
  6. Step 6: Final answer
    x = 5,125.56

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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.