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Finding the Fourth Proportional to 12,382.56, 17,081.62 and 7,344.36

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Solution

The fourth proportional to 12,382.56, 17,081.62 and 7,344.36 is: 10,131.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.56 : 17,081.62 = 7,344.36 : x
  2. Step 2: Convert to fraction form
    12,382.56/17,081.62 = 7,344.36/x
  3. Step 3: Cross multiply
    12,382.56x = 17,081.62 × 7,344.36
  4. Step 4: Simplify right side
    12,382.56x = 125,453,548.30
  5. Step 5: Solve for x
    x = 125,453,548.30/12,382.56
  6. Step 6: Final answer
    x = 10,131.47

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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.