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Finding the Fourth Proportional to 12,338.84, 18,516.45 and 5,765.53

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Solution

The fourth proportional to 12,338.84, 18,516.45 and 5,765.53 is: 8,652.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,338.84 : 18,516.45 = 5,765.53 : x
  2. Step 2: Convert to fraction form
    12,338.84/18,516.45 = 5,765.53/x
  3. Step 3: Cross multiply
    12,338.84x = 18,516.45 × 5,765.53
  4. Step 4: Simplify right side
    12,338.84x = 106,757,147.97
  5. Step 5: Solve for x
    x = 106,757,147.97/12,338.84
  6. Step 6: Final answer
    x = 8,652.13

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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.