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Finding the Fourth Proportional to 30,891.72, 42,630.27 and 16,744.56

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Solution

The fourth proportional to 30,891.72, 42,630.27 and 16,744.56 is: 23,107.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,891.72 : 42,630.27 = 16,744.56 : x
  2. Step 2: Convert to fraction form
    30,891.72/42,630.27 = 16,744.56/x
  3. Step 3: Cross multiply
    30,891.72x = 42,630.27 × 16,744.56
  4. Step 4: Simplify right side
    30,891.72x = 713,825,106.34
  5. Step 5: Solve for x
    x = 713,825,106.34/30,891.72
  6. Step 6: Final answer
    x = 23,107.33

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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.