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Finding the Fourth Proportional to 13,021.42, 19,532.13 and 3,662.43

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Solution

The fourth proportional to 13,021.42, 19,532.13 and 3,662.43 is: 5,493.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,021.42 : 19,532.13 = 3,662.43 : x
  2. Step 2: Convert to fraction form
    13,021.42/19,532.13 = 3,662.43/x
  3. Step 3: Cross multiply
    13,021.42x = 19,532.13 × 3,662.43
  4. Step 4: Simplify right side
    13,021.42x = 71,535,058.88
  5. Step 5: Solve for x
    x = 71,535,058.88/13,021.42
  6. Step 6: Final answer
    x = 5,493.65

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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.