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Finding the Fourth Proportional to 12,384.10, 18,578.94 and 6,147.55

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Solution

The fourth proportional to 12,384.10, 18,578.94 and 6,147.55 is: 9,222.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384.10 : 18,578.94 = 6,147.55 : x
  2. Step 2: Convert to fraction form
    12,384.10/18,578.94 = 6,147.55/x
  3. Step 3: Cross multiply
    12,384.10x = 18,578.94 × 6,147.55
  4. Step 4: Simplify right side
    12,384.10x = 114,214,962.60
  5. Step 5: Solve for x
    x = 114,214,962.60/12,384.10
  6. Step 6: Final answer
    x = 9,222.71

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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.