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Finding the Fourth Proportional to 23,722.74, 35,572.02 and 7,922.09

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Solution

The fourth proportional to 23,722.74, 35,572.02 and 7,922.09 is: 11,879.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,722.74 : 35,572.02 = 7,922.09 : x
  2. Step 2: Convert to fraction form
    23,722.74/35,572.02 = 7,922.09/x
  3. Step 3: Cross multiply
    23,722.74x = 35,572.02 × 7,922.09
  4. Step 4: Simplify right side
    23,722.74x = 281,804,566.06
  5. Step 5: Solve for x
    x = 281,804,566.06/23,722.74
  6. Step 6: Final answer
    x = 11,879.09

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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.