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Finding the Fourth Proportional to 26,978.58, 40,467.87 and 11,396.34

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Solution

The fourth proportional to 26,978.58, 40,467.87 and 11,396.34 is: 17,094.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,978.58 : 40,467.87 = 11,396.34 : x
  2. Step 2: Convert to fraction form
    26,978.58/40,467.87 = 11,396.34/x
  3. Step 3: Cross multiply
    26,978.58x = 40,467.87 × 11,396.34
  4. Step 4: Simplify right side
    26,978.58x = 461,185,605.60
  5. Step 5: Solve for x
    x = 461,185,605.60/26,978.58
  6. Step 6: Final answer
    x = 17,094.51

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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.