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Finding the Fourth Proportional to 16,846.94, 25,275.27 and 5,161.88

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Solution

The fourth proportional to 16,846.94, 25,275.27 and 5,161.88 is: 7,744.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,846.94 : 25,275.27 = 5,161.88 : x
  2. Step 2: Convert to fraction form
    16,846.94/25,275.27 = 5,161.88/x
  3. Step 3: Cross multiply
    16,846.94x = 25,275.27 × 5,161.88
  4. Step 4: Simplify right side
    16,846.94x = 130,467,993.25
  5. Step 5: Solve for x
    x = 130,467,993.25/16,846.94
  6. Step 6: Final answer
    x = 7,744.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.