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Finding the Fourth Proportional to 8,814.90, 13,222.29 and 2,241

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Solution

The fourth proportional to 8,814.90, 13,222.29 and 2,241 is: 3,361.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,814.90 : 13,222.29 = 2,241 : x
  2. Step 2: Convert to fraction form
    8,814.90/13,222.29 = 2,241/x
  3. Step 3: Cross multiply
    8,814.90x = 13,222.29 × 2,241
  4. Step 4: Simplify right side
    8,814.90x = 29,631,151.89
  5. Step 5: Solve for x
    x = 29,631,151.89/8,814.90
  6. Step 6: Final answer
    x = 3,361.48

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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.