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Finding the Fourth Proportional to 12,400.46, 18,596.74 and 4,078.55

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Solution

The fourth proportional to 12,400.46, 18,596.74 and 4,078.55 is: 6,116.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,400.46 : 18,596.74 = 4,078.55 : x
  2. Step 2: Convert to fraction form
    12,400.46/18,596.74 = 4,078.55/x
  3. Step 3: Cross multiply
    12,400.46x = 18,596.74 × 4,078.55
  4. Step 4: Simplify right side
    12,400.46x = 75,847,733.93
  5. Step 5: Solve for x
    x = 75,847,733.93/12,400.46
  6. Step 6: Final answer
    x = 6,116.53

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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.