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Finding the Fourth Proportional to 14,652.82, 20,227.89 and 8,363.98

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Solution

The fourth proportional to 14,652.82, 20,227.89 and 8,363.98 is: 11,546.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,652.82 : 20,227.89 = 8,363.98 : x
  2. Step 2: Convert to fraction form
    14,652.82/20,227.89 = 8,363.98/x
  3. Step 3: Cross multiply
    14,652.82x = 20,227.89 × 8,363.98
  4. Step 4: Simplify right side
    14,652.82x = 169,185,667.40
  5. Step 5: Solve for x
    x = 169,185,667.40/14,652.82
  6. Step 6: Final answer
    x = 11,546.29

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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.