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Finding the Fourth Proportional to 22,490.03, 33,732.48 and 7,697

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Solution

The fourth proportional to 22,490.03, 33,732.48 and 7,697 is: 11,544.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,490.03 : 33,732.48 = 7,697 : x
  2. Step 2: Convert to fraction form
    22,490.03/33,732.48 = 7,697/x
  3. Step 3: Cross multiply
    22,490.03x = 33,732.48 × 7,697
  4. Step 4: Simplify right side
    22,490.03x = 259,638,898.56
  5. Step 5: Solve for x
    x = 259,638,898.56/22,490.03
  6. Step 6: Final answer
    x = 11,544.62

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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.