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Finding the Fourth Proportional to 11,978.90, 17,874.66 and 10,733.64

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Solution

The fourth proportional to 11,978.90, 17,874.66 and 10,733.64 is: 16,016.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,978.90 : 17,874.66 = 10,733.64 : x
  2. Step 2: Convert to fraction form
    11,978.90/17,874.66 = 10,733.64/x
  3. Step 3: Cross multiply
    11,978.90x = 17,874.66 × 10,733.64
  4. Step 4: Simplify right side
    11,978.90x = 191,860,165.56
  5. Step 5: Solve for x
    x = 191,860,165.56/11,978.90
  6. Step 6: Final answer
    x = 16,016.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.