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Finding the Fourth Proportional to 22,186.26, 33,268.16 and 7,390

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Solution

The fourth proportional to 22,186.26, 33,268.16 and 7,390 is: 11,081.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,186.26 : 33,268.16 = 7,390 : x
  2. Step 2: Convert to fraction form
    22,186.26/33,268.16 = 7,390/x
  3. Step 3: Cross multiply
    22,186.26x = 33,268.16 × 7,390
  4. Step 4: Simplify right side
    22,186.26x = 245,851,702.40
  5. Step 5: Solve for x
    x = 245,851,702.40/22,186.26
  6. Step 6: Final answer
    x = 11,081.26

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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.