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Finding the Fourth Proportional to 30,969.52, 42,738.06 and 16,822.60

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Solution

The fourth proportional to 30,969.52, 42,738.06 and 16,822.60 is: 23,215.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,969.52 : 42,738.06 = 16,822.60 : x
  2. Step 2: Convert to fraction form
    30,969.52/42,738.06 = 16,822.60/x
  3. Step 3: Cross multiply
    30,969.52x = 42,738.06 × 16,822.60
  4. Step 4: Simplify right side
    30,969.52x = 718,965,288.16
  5. Step 5: Solve for x
    x = 718,965,288.16/30,969.52
  6. Step 6: Final answer
    x = 23,215.25

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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.