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Finding the Fourth Proportional to 14,132, 21,198.41 and 3,743.75

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Solution

The fourth proportional to 14,132, 21,198.41 and 3,743.75 is: 5,615.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,132 : 21,198.41 = 3,743.75 : x
  2. Step 2: Convert to fraction form
    14,132/21,198.41 = 3,743.75/x
  3. Step 3: Cross multiply
    14,132x = 21,198.41 × 3,743.75
  4. Step 4: Simplify right side
    14,132x = 79,361,547.44
  5. Step 5: Solve for x
    x = 79,361,547.44/14,132
  6. Step 6: Final answer
    x = 5,615.73

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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.