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Finding the Fourth Proportional to 12,879.36, 17,774.10 and 10,080

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Solution

The fourth proportional to 12,879.36, 17,774.10 and 10,080 is: 13,910.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,879.36 : 17,774.10 = 10,080 : x
  2. Step 2: Convert to fraction form
    12,879.36/17,774.10 = 10,080/x
  3. Step 3: Cross multiply
    12,879.36x = 17,774.10 × 10,080
  4. Step 4: Simplify right side
    12,879.36x = 179,162,928
  5. Step 5: Solve for x
    x = 179,162,928/12,879.36
  6. Step 6: Final answer
    x = 13,910.86

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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.