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Finding the Fourth Proportional to 25,185.97, 34,738.95 and 21,822.81

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Solution

The fourth proportional to 25,185.97, 34,738.95 and 21,822.81 is: 30,100.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,185.97 : 34,738.95 = 21,822.81 : x
  2. Step 2: Convert to fraction form
    25,185.97/34,738.95 = 21,822.81/x
  3. Step 3: Cross multiply
    25,185.97x = 34,738.95 × 21,822.81
  4. Step 4: Simplify right side
    25,185.97x = 758,101,505.45
  5. Step 5: Solve for x
    x = 758,101,505.45/25,185.97
  6. Step 6: Final answer
    x = 30,100.15

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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.