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Finding the Fourth Proportional to 30,969.16, 42,736.44 and 16,821.88

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Solution

The fourth proportional to 30,969.16, 42,736.44 and 16,821.88 is: 23,213.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,969.16 : 42,736.44 = 16,821.88 : x
  2. Step 2: Convert to fraction form
    30,969.16/42,736.44 = 16,821.88/x
  3. Step 3: Cross multiply
    30,969.16x = 42,736.44 × 16,821.88
  4. Step 4: Simplify right side
    30,969.16x = 718,907,265.31
  5. Step 5: Solve for x
    x = 718,907,265.31/30,969.16
  6. Step 6: Final answer
    x = 23,213.65

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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.