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Finding the Fourth Proportional to 13,644.14, 20,462.43 and 3,782.66

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Solution

The fourth proportional to 13,644.14, 20,462.43 and 3,782.66 is: 5,672.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,644.14 : 20,462.43 = 3,782.66 : x
  2. Step 2: Convert to fraction form
    13,644.14/20,462.43 = 3,782.66/x
  3. Step 3: Cross multiply
    13,644.14x = 20,462.43 × 3,782.66
  4. Step 4: Simplify right side
    13,644.14x = 77,402,415.46
  5. Step 5: Solve for x
    x = 77,402,415.46/13,644.14
  6. Step 6: Final answer
    x = 5,672.94

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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.