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Finding the Fourth Proportional to 14,221.86, 21,306.12 and 5,450.82

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Solution

The fourth proportional to 14,221.86, 21,306.12 and 5,450.82 is: 8,166.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,221.86 : 21,306.12 = 5,450.82 : x
  2. Step 2: Convert to fraction form
    14,221.86/21,306.12 = 5,450.82/x
  3. Step 3: Cross multiply
    14,221.86x = 21,306.12 × 5,450.82
  4. Step 4: Simplify right side
    14,221.86x = 116,135,825.02
  5. Step 5: Solve for x
    x = 116,135,825.02/14,221.86
  6. Step 6: Final answer
    x = 8,166.01

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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.