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Finding the Fourth Proportional to 15,930.69, 23,840.10 and 13,086.42

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Solution

The fourth proportional to 15,930.69, 23,840.10 and 13,086.42 is: 19,583.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,930.69 : 23,840.10 = 13,086.42 : x
  2. Step 2: Convert to fraction form
    15,930.69/23,840.10 = 13,086.42/x
  3. Step 3: Cross multiply
    15,930.69x = 23,840.10 × 13,086.42
  4. Step 4: Simplify right side
    15,930.69x = 311,981,561.44
  5. Step 5: Solve for x
    x = 311,981,561.44/15,930.69
  6. Step 6: Final answer
    x = 19,583.68

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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.