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Finding the Fourth Proportional to 13,537.26, 18,687.24 and 8,233.92

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Solution

The fourth proportional to 13,537.26, 18,687.24 and 8,233.92 is: 11,366.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,537.26 : 18,687.24 = 8,233.92 : x
  2. Step 2: Convert to fraction form
    13,537.26/18,687.24 = 8,233.92/x
  3. Step 3: Cross multiply
    13,537.26x = 18,687.24 × 8,233.92
  4. Step 4: Simplify right side
    13,537.26x = 153,869,239.18
  5. Step 5: Solve for x
    x = 153,869,239.18/13,537.26
  6. Step 6: Final answer
    x = 11,366.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.