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Finding the Fourth Proportional to 30,969.87, 42,738.48 and 16,822.68

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Solution

The fourth proportional to 30,969.87, 42,738.48 and 16,822.68 is: 23,215.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,969.87 : 42,738.48 = 16,822.68 : x
  2. Step 2: Convert to fraction form
    30,969.87/42,738.48 = 16,822.68/x
  3. Step 3: Cross multiply
    30,969.87x = 42,738.48 × 16,822.68
  4. Step 4: Simplify right side
    30,969.87x = 718,975,772.73
  5. Step 5: Solve for x
    x = 718,975,772.73/30,969.87
  6. Step 6: Final answer
    x = 23,215.33

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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.