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Finding the Fourth Proportional to 16,782.20, 25,178.29 and 6,922.07

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Solution

The fourth proportional to 16,782.20, 25,178.29 and 6,922.07 is: 10,385.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,782.20 : 25,178.29 = 6,922.07 : x
  2. Step 2: Convert to fraction form
    16,782.20/25,178.29 = 6,922.07/x
  3. Step 3: Cross multiply
    16,782.20x = 25,178.29 × 6,922.07
  4. Step 4: Simplify right side
    16,782.20x = 174,285,725.36
  5. Step 5: Solve for x
    x = 174,285,725.36/16,782.20
  6. Step 6: Final answer
    x = 10,385.16

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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.