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Finding the Fourth Proportional to 14,153.49, 21,230.21 and 3,765.24

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Solution

The fourth proportional to 14,153.49, 21,230.21 and 3,765.24 is: 5,647.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,153.49 : 21,230.21 = 3,765.24 : x
  2. Step 2: Convert to fraction form
    14,153.49/21,230.21 = 3,765.24/x
  3. Step 3: Cross multiply
    14,153.49x = 21,230.21 × 3,765.24
  4. Step 4: Simplify right side
    14,153.49x = 79,936,817.07
  5. Step 5: Solve for x
    x = 79,936,817.07/14,153.49
  6. Step 6: Final answer
    x = 5,647.85

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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.