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Finding the Fourth Proportional to 15,653.49, 23,469.82 and 8,138.59

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Solution

The fourth proportional to 15,653.49, 23,469.82 and 8,138.59 is: 12,202.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,653.49 : 23,469.82 = 8,138.59 : x
  2. Step 2: Convert to fraction form
    15,653.49/23,469.82 = 8,138.59/x
  3. Step 3: Cross multiply
    15,653.49x = 23,469.82 × 8,138.59
  4. Step 4: Simplify right side
    15,653.49x = 191,011,163.33
  5. Step 5: Solve for x
    x = 191,011,163.33/15,653.49
  6. Step 6: Final answer
    x = 12,202.47

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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.