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Finding the Fourth Proportional to 13,872.09, 20,813.37 and 8,329.29

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Solution

The fourth proportional to 13,872.09, 20,813.37 and 8,329.29 is: 12,497.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872.09 : 20,813.37 = 8,329.29 : x
  2. Step 2: Convert to fraction form
    13,872.09/20,813.37 = 8,329.29/x
  3. Step 3: Cross multiply
    13,872.09x = 20,813.37 × 8,329.29
  4. Step 4: Simplify right side
    13,872.09x = 173,360,552.96
  5. Step 5: Solve for x
    x = 173,360,552.96/13,872.09
  6. Step 6: Final answer
    x = 12,497.08

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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.