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Finding the Fourth Proportional to 22,850.97, 31,544.58 and 13,420.14

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Solution

The fourth proportional to 22,850.97, 31,544.58 and 13,420.14 is: 18,525.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,850.97 : 31,544.58 = 13,420.14 : x
  2. Step 2: Convert to fraction form
    22,850.97/31,544.58 = 13,420.14/x
  3. Step 3: Cross multiply
    22,850.97x = 31,544.58 × 13,420.14
  4. Step 4: Simplify right side
    22,850.97x = 423,332,679.84
  5. Step 5: Solve for x
    x = 423,332,679.84/22,850.97
  6. Step 6: Final answer
    x = 18,525.81

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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.