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Finding the Fourth Proportional to 12,832.65, 19,245.09 and 4,511.10

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Solution

The fourth proportional to 12,832.65, 19,245.09 and 4,511.10 is: 6,765.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.65 : 19,245.09 = 4,511.10 : x
  2. Step 2: Convert to fraction form
    12,832.65/19,245.09 = 4,511.10/x
  3. Step 3: Cross multiply
    12,832.65x = 19,245.09 × 4,511.10
  4. Step 4: Simplify right side
    12,832.65x = 86,816,525.50
  5. Step 5: Solve for x
    x = 86,816,525.50/12,832.65
  6. Step 6: Final answer
    x = 6,765.28

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Why These Related Problems?

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