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Finding the Fourth Proportional to 12,405.75, 18,609.30 and 3,641.55

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Solution

The fourth proportional to 12,405.75, 18,609.30 and 3,641.55 is: 5,462.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,405.75 : 18,609.30 = 3,641.55 : x
  2. Step 2: Convert to fraction form
    12,405.75/18,609.30 = 3,641.55/x
  3. Step 3: Cross multiply
    12,405.75x = 18,609.30 × 3,641.55
  4. Step 4: Simplify right side
    12,405.75x = 67,766,696.42
  5. Step 5: Solve for x
    x = 67,766,696.42/12,405.75
  6. Step 6: Final answer
    x = 5,462.52

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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.