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Finding the Fourth Proportional to 26,440.85, 39,664.98 and 7,722.27

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Solution

The fourth proportional to 26,440.85, 39,664.98 and 7,722.27 is: 11,584.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,440.85 : 39,664.98 = 7,722.27 : x
  2. Step 2: Convert to fraction form
    26,440.85/39,664.98 = 7,722.27/x
  3. Step 3: Cross multiply
    26,440.85x = 39,664.98 × 7,722.27
  4. Step 4: Simplify right side
    26,440.85x = 306,303,818.38
  5. Step 5: Solve for x
    x = 306,303,818.38/26,440.85
  6. Step 6: Final answer
    x = 11,584.49

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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.