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Finding the Fourth Proportional to 25,551.63, 38,329.05 and 8,022.15

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Solution

The fourth proportional to 25,551.63, 38,329.05 and 8,022.15 is: 12,033.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,551.63 : 38,329.05 = 8,022.15 : x
  2. Step 2: Convert to fraction form
    25,551.63/38,329.05 = 8,022.15/x
  3. Step 3: Cross multiply
    25,551.63x = 38,329.05 × 8,022.15
  4. Step 4: Simplify right side
    25,551.63x = 307,481,388.46
  5. Step 5: Solve for x
    x = 307,481,388.46/25,551.63
  6. Step 6: Final answer
    x = 12,033.73

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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.