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Finding the Fourth Proportional to 26,694.70, 40,034.34 and 7,973.98

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Solution

The fourth proportional to 26,694.70, 40,034.34 and 7,973.98 is: 11,958.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,694.70 : 40,034.34 = 7,973.98 : x
  2. Step 2: Convert to fraction form
    26,694.70/40,034.34 = 7,973.98/x
  3. Step 3: Cross multiply
    26,694.70x = 40,034.34 × 7,973.98
  4. Step 4: Simplify right side
    26,694.70x = 319,233,026.47
  5. Step 5: Solve for x
    x = 319,233,026.47/26,694.70
  6. Step 6: Final answer
    x = 11,958.67

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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.