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Finding the Fourth Proportional to 12,414.61, 18,611.44 and 5,389.32

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Solution

The fourth proportional to 12,414.61, 18,611.44 and 5,389.32 is: 8,079.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.61 : 18,611.44 = 5,389.32 : x
  2. Step 2: Convert to fraction form
    12,414.61/18,611.44 = 5,389.32/x
  3. Step 3: Cross multiply
    12,414.61x = 18,611.44 × 5,389.32
  4. Step 4: Simplify right side
    12,414.61x = 100,303,038.88
  5. Step 5: Solve for x
    x = 100,303,038.88/12,414.61
  6. Step 6: Final answer
    x = 8,079.44

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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.