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Finding the Fourth Proportional to 27,893.28, 38,474.64 and 17,824.80

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Solution

The fourth proportional to 27,893.28, 38,474.64 and 17,824.80 is: 24,586.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,893.28 : 38,474.64 = 17,824.80 : x
  2. Step 2: Convert to fraction form
    27,893.28/38,474.64 = 17,824.80/x
  3. Step 3: Cross multiply
    27,893.28x = 38,474.64 × 17,824.80
  4. Step 4: Simplify right side
    27,893.28x = 685,802,763.07
  5. Step 5: Solve for x
    x = 685,802,763.07/27,893.28
  6. Step 6: Final answer
    x = 24,586.67

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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.