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Finding the Fourth Proportional to 30,969.73, 42,738.19 and 16,822.47

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Solution

The fourth proportional to 30,969.73, 42,738.19 and 16,822.47 is: 23,214.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,969.73 : 42,738.19 = 16,822.47 : x
  2. Step 2: Convert to fraction form
    30,969.73/42,738.19 = 16,822.47/x
  3. Step 3: Cross multiply
    30,969.73x = 42,738.19 × 16,822.47
  4. Step 4: Simplify right side
    30,969.73x = 718,961,919.13
  5. Step 5: Solve for x
    x = 718,961,919.13/30,969.73
  6. Step 6: Final answer
    x = 23,214.99

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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.