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Finding the Fourth Proportional to 22,453.22, 33,683.30 and 7,658.68

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Solution

The fourth proportional to 22,453.22, 33,683.30 and 7,658.68 is: 11,489.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,453.22 : 33,683.30 = 7,658.68 : x
  2. Step 2: Convert to fraction form
    22,453.22/33,683.30 = 7,658.68/x
  3. Step 3: Cross multiply
    22,453.22x = 33,683.30 × 7,658.68
  4. Step 4: Simplify right side
    22,453.22x = 257,969,616.04
  5. Step 5: Solve for x
    x = 257,969,616.04/22,453.22
  6. Step 6: Final answer
    x = 11,489.20

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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.