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Finding the Fourth Proportional to 26,978.10, 37,223.36 and 16,367.46

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Solution

The fourth proportional to 26,978.10, 37,223.36 and 16,367.46 is: 22,583.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,978.10 : 37,223.36 = 16,367.46 : x
  2. Step 2: Convert to fraction form
    26,978.10/37,223.36 = 16,367.46/x
  3. Step 3: Cross multiply
    26,978.10x = 37,223.36 × 16,367.46
  4. Step 4: Simplify right side
    26,978.10x = 609,251,855.87
  5. Step 5: Solve for x
    x = 609,251,855.87/26,978.10
  6. Step 6: Final answer
    x = 22,583.20

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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.