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Finding the Fourth Proportional to 12,406.92, 18,611.06 and 4,086.60

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Solution

The fourth proportional to 12,406.92, 18,611.06 and 4,086.60 is: 6,130.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.92 : 18,611.06 = 4,086.60 : x
  2. Step 2: Convert to fraction form
    12,406.92/18,611.06 = 4,086.60/x
  3. Step 3: Cross multiply
    12,406.92x = 18,611.06 × 4,086.60
  4. Step 4: Simplify right side
    12,406.92x = 76,055,937.36
  5. Step 5: Solve for x
    x = 76,055,937.36/12,406.92
  6. Step 6: Final answer
    x = 6,130.12

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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.