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Finding the Fourth Proportional to 22,538.49, 31,093.34 and 13,580.90

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Solution

The fourth proportional to 22,538.49, 31,093.34 and 13,580.90 is: 18,735.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,538.49 : 31,093.34 = 13,580.90 : x
  2. Step 2: Convert to fraction form
    22,538.49/31,093.34 = 13,580.90/x
  3. Step 3: Cross multiply
    22,538.49x = 31,093.34 × 13,580.90
  4. Step 4: Simplify right side
    22,538.49x = 422,275,541.21
  5. Step 5: Solve for x
    x = 422,275,541.21/22,538.49
  6. Step 6: Final answer
    x = 18,735.75

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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.