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Finding the Fourth Proportional to 30,969.68, 42,738.20 and 16,822.53

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Solution

The fourth proportional to 30,969.68, 42,738.20 and 16,822.53 is: 23,215.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,969.68 : 42,738.20 = 16,822.53 : x
  2. Step 2: Convert to fraction form
    30,969.68/42,738.20 = 16,822.53/x
  3. Step 3: Cross multiply
    30,969.68x = 42,738.20 × 16,822.53
  4. Step 4: Simplify right side
    30,969.68x = 718,964,567.53
  5. Step 5: Solve for x
    x = 718,964,567.53/30,969.68
  6. Step 6: Final answer
    x = 23,215.12

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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.