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Finding the Fourth Proportional to 12,338.96, 18,516.64 and 5,765.66

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Solution

The fourth proportional to 12,338.96, 18,516.64 and 5,765.66 is: 8,652.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,338.96 : 18,516.64 = 5,765.66 : x
  2. Step 2: Convert to fraction form
    12,338.96/18,516.64 = 5,765.66/x
  3. Step 3: Cross multiply
    12,338.96x = 18,516.64 × 5,765.66
  4. Step 4: Simplify right side
    12,338.96x = 106,760,650.58
  5. Step 5: Solve for x
    x = 106,760,650.58/12,338.96
  6. Step 6: Final answer
    x = 8,652.32

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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.