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Finding the Fourth Proportional to 12,181.62, 18,270 and 3,416.61

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Solution

The fourth proportional to 12,181.62, 18,270 and 3,416.61 is: 5,124.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,181.62 : 18,270 = 3,416.61 : x
  2. Step 2: Convert to fraction form
    12,181.62/18,270 = 3,416.61/x
  3. Step 3: Cross multiply
    12,181.62x = 18,270 × 3,416.61
  4. Step 4: Simplify right side
    12,181.62x = 62,421,464.70
  5. Step 5: Solve for x
    x = 62,421,464.70/12,181.62
  6. Step 6: Final answer
    x = 5,124.23

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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.