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Finding the Fourth Proportional to 12,274.96, 18,399.60 and 5,695.68

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Solution

The fourth proportional to 12,274.96, 18,399.60 and 5,695.68 is: 8,537.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274.96 : 18,399.60 = 5,695.68 : x
  2. Step 2: Convert to fraction form
    12,274.96/18,399.60 = 5,695.68/x
  3. Step 3: Cross multiply
    12,274.96x = 18,399.60 × 5,695.68
  4. Step 4: Simplify right side
    12,274.96x = 104,798,233.73
  5. Step 5: Solve for x
    x = 104,798,233.73/12,274.96
  6. Step 6: Final answer
    x = 8,537.56

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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.