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Finding the Fourth Proportional to 13,846.82, 20,772.98 and 5,081.82

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Solution

The fourth proportional to 13,846.82, 20,772.98 and 5,081.82 is: 7,623.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,846.82 : 20,772.98 = 5,081.82 : x
  2. Step 2: Convert to fraction form
    13,846.82/20,772.98 = 5,081.82/x
  3. Step 3: Cross multiply
    13,846.82x = 20,772.98 × 5,081.82
  4. Step 4: Simplify right side
    13,846.82x = 105,564,545.22
  5. Step 5: Solve for x
    x = 105,564,545.22/13,846.82
  6. Step 6: Final answer
    x = 7,623.74

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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.