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Finding the Fourth Proportional to 14,449.92, 21,672.96 and 5,682.48

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Solution

The fourth proportional to 14,449.92, 21,672.96 and 5,682.48 is: 8,522.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,449.92 : 21,672.96 = 5,682.48 : x
  2. Step 2: Convert to fraction form
    14,449.92/21,672.96 = 5,682.48/x
  3. Step 3: Cross multiply
    14,449.92x = 21,672.96 × 5,682.48
  4. Step 4: Simplify right side
    14,449.92x = 123,156,161.74
  5. Step 5: Solve for x
    x = 123,156,161.74/14,449.92
  6. Step 6: Final answer
    x = 8,522.96

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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.