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Finding the Fourth Proportional to 12,097.63, 18,147.12 and 3,778.80

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Solution

The fourth proportional to 12,097.63, 18,147.12 and 3,778.80 is: 5,668.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.63 : 18,147.12 = 3,778.80 : x
  2. Step 2: Convert to fraction form
    12,097.63/18,147.12 = 3,778.80/x
  3. Step 3: Cross multiply
    12,097.63x = 18,147.12 × 3,778.80
  4. Step 4: Simplify right side
    12,097.63x = 68,574,337.06
  5. Step 5: Solve for x
    x = 68,574,337.06/12,097.63
  6. Step 6: Final answer
    x = 5,668.41

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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.