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Finding the Fourth Proportional to 22,363.48, 33,550.06 and 6,782.28

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Solution

The fourth proportional to 22,363.48, 33,550.06 and 6,782.28 is: 10,174.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,363.48 : 33,550.06 = 6,782.28 : x
  2. Step 2: Convert to fraction form
    22,363.48/33,550.06 = 6,782.28/x
  3. Step 3: Cross multiply
    22,363.48x = 33,550.06 × 6,782.28
  4. Step 4: Simplify right side
    22,363.48x = 227,545,900.94
  5. Step 5: Solve for x
    x = 227,545,900.94/22,363.48
  6. Step 6: Final answer
    x = 10,174.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.