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Finding the Fourth Proportional to 22,175.49, 33,268.54 and 7,384.53

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Solution

The fourth proportional to 22,175.49, 33,268.54 and 7,384.53 is: 11,078.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,175.49 : 33,268.54 = 7,384.53 : x
  2. Step 2: Convert to fraction form
    22,175.49/33,268.54 = 7,384.53/x
  3. Step 3: Cross multiply
    22,175.49x = 33,268.54 × 7,384.53
  4. Step 4: Simplify right side
    22,175.49x = 245,672,531.69
  5. Step 5: Solve for x
    x = 245,672,531.69/22,175.49
  6. Step 6: Final answer
    x = 11,078.56

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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.