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Finding the Fourth Proportional to 22,675.89, 31,308 and 20,278.42

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Solution

The fourth proportional to 22,675.89, 31,308 and 20,278.42 is: 27,997.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,675.89 : 31,308 = 20,278.42 : x
  2. Step 2: Convert to fraction form
    22,675.89/31,308 = 20,278.42/x
  3. Step 3: Cross multiply
    22,675.89x = 31,308 × 20,278.42
  4. Step 4: Simplify right side
    22,675.89x = 634,876,773.36
  5. Step 5: Solve for x
    x = 634,876,773.36/22,675.89
  6. Step 6: Final answer
    x = 27,997.88

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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.