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Finding the Fourth Proportional to 24,754.74, 34,163.93 and 14,142.33

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Solution

The fourth proportional to 24,754.74, 34,163.93 and 14,142.33 is: 19,517.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,754.74 : 34,163.93 = 14,142.33 : x
  2. Step 2: Convert to fraction form
    24,754.74/34,163.93 = 14,142.33/x
  3. Step 3: Cross multiply
    24,754.74x = 34,163.93 × 14,142.33
  4. Step 4: Simplify right side
    24,754.74x = 483,157,501.45
  5. Step 5: Solve for x
    x = 483,157,501.45/24,754.74
  6. Step 6: Final answer
    x = 19,517.78

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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.