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Finding the Fourth Proportional to 25,713.70, 38,562.99 and 10,922.50

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Solution

The fourth proportional to 25,713.70, 38,562.99 and 10,922.50 is: 16,380.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,713.70 : 38,562.99 = 10,922.50 : x
  2. Step 2: Convert to fraction form
    25,713.70/38,562.99 = 10,922.50/x
  3. Step 3: Cross multiply
    25,713.70x = 38,562.99 × 10,922.50
  4. Step 4: Simplify right side
    25,713.70x = 421,204,258.28
  5. Step 5: Solve for x
    x = 421,204,258.28/25,713.70
  6. Step 6: Final answer
    x = 16,380.54

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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.