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Finding the Fourth Proportional to 16,896.36, 25,342.91 and 5,206.44

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Solution

The fourth proportional to 16,896.36, 25,342.91 and 5,206.44 is: 7,809.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,896.36 : 25,342.91 = 5,206.44 : x
  2. Step 2: Convert to fraction form
    16,896.36/25,342.91 = 5,206.44/x
  3. Step 3: Cross multiply
    16,896.36x = 25,342.91 × 5,206.44
  4. Step 4: Simplify right side
    16,896.36x = 131,946,340.34
  5. Step 5: Solve for x
    x = 131,946,340.34/16,896.36
  6. Step 6: Final answer
    x = 7,809.16

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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.