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Finding the Fourth Proportional to 23,815.26, 35,715.21 and 8,016

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Solution

The fourth proportional to 23,815.26, 35,715.21 and 8,016 is: 12,021.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,815.26 : 35,715.21 = 8,016 : x
  2. Step 2: Convert to fraction form
    23,815.26/35,715.21 = 8,016/x
  3. Step 3: Cross multiply
    23,815.26x = 35,715.21 × 8,016
  4. Step 4: Simplify right side
    23,815.26x = 286,293,123.36
  5. Step 5: Solve for x
    x = 286,293,123.36/23,815.26
  6. Step 6: Final answer
    x = 12,021.41

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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.