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Finding the Fourth Proportional to 12,909.15, 19,361.41 and 8,215.23

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Solution

The fourth proportional to 12,909.15, 19,361.41 and 8,215.23 is: 12,321.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,909.15 : 19,361.41 = 8,215.23 : x
  2. Step 2: Convert to fraction form
    12,909.15/19,361.41 = 8,215.23/x
  3. Step 3: Cross multiply
    12,909.15x = 19,361.41 × 8,215.23
  4. Step 4: Simplify right side
    12,909.15x = 159,058,436.27
  5. Step 5: Solve for x
    x = 159,058,436.27/12,909.15
  6. Step 6: Final answer
    x = 12,321.37

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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.