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Finding the Fourth Proportional to 14,324.34, 21,486.63 and 4,463.22

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Solution

The fourth proportional to 14,324.34, 21,486.63 and 4,463.22 is: 6,694.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,324.34 : 21,486.63 = 4,463.22 : x
  2. Step 2: Convert to fraction form
    14,324.34/21,486.63 = 4,463.22/x
  3. Step 3: Cross multiply
    14,324.34x = 21,486.63 × 4,463.22
  4. Step 4: Simplify right side
    14,324.34x = 95,899,556.75
  5. Step 5: Solve for x
    x = 95,899,556.75/14,324.34
  6. Step 6: Final answer
    x = 6,694.87

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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.