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Finding the Fourth Proportional to 23,882.46, 35,774.44 and 13,991.74

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Solution

The fourth proportional to 23,882.46, 35,774.44 and 13,991.74 is: 20,958.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,882.46 : 35,774.44 = 13,991.74 : x
  2. Step 2: Convert to fraction form
    23,882.46/35,774.44 = 13,991.74/x
  3. Step 3: Cross multiply
    23,882.46x = 35,774.44 × 13,991.74
  4. Step 4: Simplify right side
    23,882.46x = 500,546,663.13
  5. Step 5: Solve for x
    x = 500,546,663.13/23,882.46
  6. Step 6: Final answer
    x = 20,958.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.