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Finding the Fourth Proportional to 24,632.48, 33,993 and 14,022.78

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Solution

The fourth proportional to 24,632.48, 33,993 and 14,022.78 is: 19,351.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,632.48 : 33,993 = 14,022.78 : x
  2. Step 2: Convert to fraction form
    24,632.48/33,993 = 14,022.78/x
  3. Step 3: Cross multiply
    24,632.48x = 33,993 × 14,022.78
  4. Step 4: Simplify right side
    24,632.48x = 476,676,360.54
  5. Step 5: Solve for x
    x = 476,676,360.54/24,632.48
  6. Step 6: Final answer
    x = 19,351.54

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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.