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Finding the Fourth Proportional to 22,594.67, 31,181.44 and 13,640.42

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Solution

The fourth proportional to 22,594.67, 31,181.44 and 13,640.42 is: 18,824.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,594.67 : 31,181.44 = 13,640.42 : x
  2. Step 2: Convert to fraction form
    22,594.67/31,181.44 = 13,640.42/x
  3. Step 3: Cross multiply
    22,594.67x = 31,181.44 × 13,640.42
  4. Step 4: Simplify right side
    22,594.67x = 425,327,937.80
  5. Step 5: Solve for x
    x = 425,327,937.80/22,594.67
  6. Step 6: Final answer
    x = 18,824.26

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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.