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Finding the Fourth Proportional to 22,922.09, 31,585.07 and 18,427.80

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Solution

The fourth proportional to 22,922.09, 31,585.07 and 18,427.80 is: 25,392.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,922.09 : 31,585.07 = 18,427.80 : x
  2. Step 2: Convert to fraction form
    22,922.09/31,585.07 = 18,427.80/x
  3. Step 3: Cross multiply
    22,922.09x = 31,585.07 × 18,427.80
  4. Step 4: Simplify right side
    22,922.09x = 582,043,352.95
  5. Step 5: Solve for x
    x = 582,043,352.95/22,922.09
  6. Step 6: Final answer
    x = 25,392.25

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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.