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Finding the Fourth Proportional to 14,132.34, 21,198.42 and 3,744

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Solution

The fourth proportional to 14,132.34, 21,198.42 and 3,744 is: 5,615.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,132.34 : 21,198.42 = 3,744 : x
  2. Step 2: Convert to fraction form
    14,132.34/21,198.42 = 3,744/x
  3. Step 3: Cross multiply
    14,132.34x = 21,198.42 × 3,744
  4. Step 4: Simplify right side
    14,132.34x = 79,366,884.48
  5. Step 5: Solve for x
    x = 79,366,884.48/14,132.34
  6. Step 6: Final answer
    x = 5,615.98

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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.