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Finding the Fourth Proportional to 30,969.60, 42,738.04 and 16,822.43

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Solution

The fourth proportional to 30,969.60, 42,738.04 and 16,822.43 is: 23,214.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,969.60 : 42,738.04 = 16,822.43 : x
  2. Step 2: Convert to fraction form
    30,969.60/42,738.04 = 16,822.43/x
  3. Step 3: Cross multiply
    30,969.60x = 42,738.04 × 16,822.43
  4. Step 4: Simplify right side
    30,969.60x = 718,957,686.24
  5. Step 5: Solve for x
    x = 718,957,686.24/30,969.60
  6. Step 6: Final answer
    x = 23,214.95

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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.