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Finding the Fourth Proportional to 12,023.87, 18,042.60 and 6,477.09

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Solution

The fourth proportional to 12,023.87, 18,042.60 and 6,477.09 is: 9,719.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,023.87 : 18,042.60 = 6,477.09 : x
  2. Step 2: Convert to fraction form
    12,023.87/18,042.60 = 6,477.09/x
  3. Step 3: Cross multiply
    12,023.87x = 18,042.60 × 6,477.09
  4. Step 4: Simplify right side
    12,023.87x = 116,863,544.03
  5. Step 5: Solve for x
    x = 116,863,544.03/12,023.87
  6. Step 6: Final answer
    x = 9,719.30

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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.