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Finding the Fourth Proportional to 14,213.72, 21,306 and 5,446.28

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Solution

The fourth proportional to 14,213.72, 21,306 and 5,446.28 is: 8,163.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,213.72 : 21,306 = 5,446.28 : x
  2. Step 2: Convert to fraction form
    14,213.72/21,306 = 5,446.28/x
  3. Step 3: Cross multiply
    14,213.72x = 21,306 × 5,446.28
  4. Step 4: Simplify right side
    14,213.72x = 116,038,441.68
  5. Step 5: Solve for x
    x = 116,038,441.68/14,213.72
  6. Step 6: Final answer
    x = 8,163.83

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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.