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Finding the Fourth Proportional to 12,327.83, 18,477.87 and 6,074.60

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Solution

The fourth proportional to 12,327.83, 18,477.87 and 6,074.60 is: 9,105.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,327.83 : 18,477.87 = 6,074.60 : x
  2. Step 2: Convert to fraction form
    12,327.83/18,477.87 = 6,074.60/x
  3. Step 3: Cross multiply
    12,327.83x = 18,477.87 × 6,074.60
  4. Step 4: Simplify right side
    12,327.83x = 112,245,669.10
  5. Step 5: Solve for x
    x = 112,245,669.10/12,327.83
  6. Step 6: Final answer
    x = 9,105.06

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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.