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Finding the Fourth Proportional to 12,433.70, 18,654.64 and 5,034.15

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Solution

The fourth proportional to 12,433.70, 18,654.64 and 5,034.15 is: 7,552.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,433.70 : 18,654.64 = 5,034.15 : x
  2. Step 2: Convert to fraction form
    12,433.70/18,654.64 = 5,034.15/x
  3. Step 3: Cross multiply
    12,433.70x = 18,654.64 × 5,034.15
  4. Step 4: Simplify right side
    12,433.70x = 93,910,243.37
  5. Step 5: Solve for x
    x = 93,910,243.37/12,433.70
  6. Step 6: Final answer
    x = 7,552.88

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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.