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Finding the Fourth Proportional to 30,959.82, 42,724.26 and 16,812.36

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Solution

The fourth proportional to 30,959.82, 42,724.26 and 16,812.36 is: 23,200.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,959.82 : 42,724.26 = 16,812.36 : x
  2. Step 2: Convert to fraction form
    30,959.82/42,724.26 = 16,812.36/x
  3. Step 3: Cross multiply
    30,959.82x = 42,724.26 × 16,812.36
  4. Step 4: Simplify right side
    30,959.82x = 718,295,639.85
  5. Step 5: Solve for x
    x = 718,295,639.85/30,959.82
  6. Step 6: Final answer
    x = 23,200.90

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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.