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Finding the Fourth Proportional to 20,142.26, 27,770.77 and 14,406.63

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Solution

The fourth proportional to 20,142.26, 27,770.77 and 14,406.63 is: 19,862.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,142.26 : 27,770.77 = 14,406.63 : x
  2. Step 2: Convert to fraction form
    20,142.26/27,770.77 = 14,406.63/x
  3. Step 3: Cross multiply
    20,142.26x = 27,770.77 × 14,406.63
  4. Step 4: Simplify right side
    20,142.26x = 400,083,122.07
  5. Step 5: Solve for x
    x = 400,083,122.07/20,142.26
  6. Step 6: Final answer
    x = 19,862.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.