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Finding the Fourth Proportional to 22,440.24, 33,661.44 and 6,858

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Solution

The fourth proportional to 22,440.24, 33,661.44 and 6,858 is: 10,287.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,440.24 : 33,661.44 = 6,858 : x
  2. Step 2: Convert to fraction form
    22,440.24/33,661.44 = 6,858/x
  3. Step 3: Cross multiply
    22,440.24x = 33,661.44 × 6,858
  4. Step 4: Simplify right side
    22,440.24x = 230,850,155.52
  5. Step 5: Solve for x
    x = 230,850,155.52/22,440.24
  6. Step 6: Final answer
    x = 10,287.33

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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.