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Finding the Fourth Proportional to 12,298.30, 18,443.16 and 7,611.17

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Solution

The fourth proportional to 12,298.30, 18,443.16 and 7,611.17 is: 11,414.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,298.30 : 18,443.16 = 7,611.17 : x
  2. Step 2: Convert to fraction form
    12,298.30/18,443.16 = 7,611.17/x
  3. Step 3: Cross multiply
    12,298.30x = 18,443.16 × 7,611.17
  4. Step 4: Simplify right side
    12,298.30x = 140,373,933.88
  5. Step 5: Solve for x
    x = 140,373,933.88/12,298.30
  6. Step 6: Final answer
    x = 11,414.09

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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.