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Finding the Fourth Proportional to 12,199.16, 18,284.61 and 5,611.52

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Solution

The fourth proportional to 12,199.16, 18,284.61 and 5,611.52 is: 8,410.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.16 : 18,284.61 = 5,611.52 : x
  2. Step 2: Convert to fraction form
    12,199.16/18,284.61 = 5,611.52/x
  3. Step 3: Cross multiply
    12,199.16x = 18,284.61 × 5,611.52
  4. Step 4: Simplify right side
    12,199.16x = 102,604,454.71
  5. Step 5: Solve for x
    x = 102,604,454.71/12,199.16
  6. Step 6: Final answer
    x = 8,410.78

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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.