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Finding the Fourth Proportional to 15,921.69, 23,882.33 and 9,683.42

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Solution

The fourth proportional to 15,921.69, 23,882.33 and 9,683.42 is: 14,524.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,921.69 : 23,882.33 = 9,683.42 : x
  2. Step 2: Convert to fraction form
    15,921.69/23,882.33 = 9,683.42/x
  3. Step 3: Cross multiply
    15,921.69x = 23,882.33 × 9,683.42
  4. Step 4: Simplify right side
    15,921.69x = 231,262,464.14
  5. Step 5: Solve for x
    x = 231,262,464.14/15,921.69
  6. Step 6: Final answer
    x = 14,524.99

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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.