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Finding the Fourth Proportional to 22,231.98, 33,348.06 and 9,085.68

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Solution

The fourth proportional to 22,231.98, 33,348.06 and 9,085.68 is: 13,628.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,231.98 : 33,348.06 = 9,085.68 : x
  2. Step 2: Convert to fraction form
    22,231.98/33,348.06 = 9,085.68/x
  3. Step 3: Cross multiply
    22,231.98x = 33,348.06 × 9,085.68
  4. Step 4: Simplify right side
    22,231.98x = 302,989,801.78
  5. Step 5: Solve for x
    x = 302,989,801.78/22,231.98
  6. Step 6: Final answer
    x = 13,628.56

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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.