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Finding the Fourth Proportional to 12,644.65, 17,450.40 and 7,268.80

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Solution

The fourth proportional to 12,644.65, 17,450.40 and 7,268.80 is: 10,031.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,644.65 : 17,450.40 = 7,268.80 : x
  2. Step 2: Convert to fraction form
    12,644.65/17,450.40 = 7,268.80/x
  3. Step 3: Cross multiply
    12,644.65x = 17,450.40 × 7,268.80
  4. Step 4: Simplify right side
    12,644.65x = 126,843,467.52
  5. Step 5: Solve for x
    x = 126,843,467.52/12,644.65
  6. Step 6: Final answer
    x = 10,031.40

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