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Finding the Fourth Proportional to 13,872.84, 20,827.77 and 11,806.12

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Solution

The fourth proportional to 13,872.84, 20,827.77 and 11,806.12 is: 17,724.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872.84 : 20,827.77 = 11,806.12 : x
  2. Step 2: Convert to fraction form
    13,872.84/20,827.77 = 11,806.12/x
  3. Step 3: Cross multiply
    13,872.84x = 20,827.77 × 11,806.12
  4. Step 4: Simplify right side
    13,872.84x = 245,895,151.95
  5. Step 5: Solve for x
    x = 245,895,151.95/13,872.84
  6. Step 6: Final answer
    x = 17,724.93

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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.