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Finding the Fourth Proportional to 16,811.10, 23,198.40 and 9,257.16

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Solution

The fourth proportional to 16,811.10, 23,198.40 and 9,257.16 is: 12,774.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,811.10 : 23,198.40 = 9,257.16 : x
  2. Step 2: Convert to fraction form
    16,811.10/23,198.40 = 9,257.16/x
  3. Step 3: Cross multiply
    16,811.10x = 23,198.40 × 9,257.16
  4. Step 4: Simplify right side
    16,811.10x = 214,751,300.54
  5. Step 5: Solve for x
    x = 214,751,300.54/16,811.10
  6. Step 6: Final answer
    x = 12,774.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.