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Finding the Fourth Proportional to 12,405.79, 18,611.52 and 3,641.41

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Solution

The fourth proportional to 12,405.79, 18,611.52 and 3,641.41 is: 5,462.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,405.79 : 18,611.52 = 3,641.41 : x
  2. Step 2: Convert to fraction form
    12,405.79/18,611.52 = 3,641.41/x
  3. Step 3: Cross multiply
    12,405.79x = 18,611.52 × 3,641.41
  4. Step 4: Simplify right side
    12,405.79x = 67,772,175.04
  5. Step 5: Solve for x
    x = 67,772,175.04/12,405.79
  6. Step 6: Final answer
    x = 5,462.95

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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.