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Finding the Fourth Proportional to 15,469.94, 23,197.82 and 8,452.31

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Solution

The fourth proportional to 15,469.94, 23,197.82 and 8,452.31 is: 12,674.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,469.94 : 23,197.82 = 8,452.31 : x
  2. Step 2: Convert to fraction form
    15,469.94/23,197.82 = 8,452.31/x
  3. Step 3: Cross multiply
    15,469.94x = 23,197.82 × 8,452.31
  4. Step 4: Simplify right side
    15,469.94x = 196,075,007.71
  5. Step 5: Solve for x
    x = 196,075,007.71/15,469.94
  6. Step 6: Final answer
    x = 12,674.59

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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.