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Finding the Fourth Proportional to 22,356.06, 30,850.75 and 12,284.47

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Solution

The fourth proportional to 22,356.06, 30,850.75 and 12,284.47 is: 16,952.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,356.06 : 30,850.75 = 12,284.47 : x
  2. Step 2: Convert to fraction form
    22,356.06/30,850.75 = 12,284.47/x
  3. Step 3: Cross multiply
    22,356.06x = 30,850.75 × 12,284.47
  4. Step 4: Simplify right side
    22,356.06x = 378,985,112.85
  5. Step 5: Solve for x
    x = 378,985,112.85/22,356.06
  6. Step 6: Final answer
    x = 16,952.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.