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Finding the Fourth Proportional to 25,759.64, 38,620.56 and 8,219.36

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Solution

The fourth proportional to 25,759.64, 38,620.56 and 8,219.36 is: 12,323.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,759.64 : 38,620.56 = 8,219.36 : x
  2. Step 2: Convert to fraction form
    25,759.64/38,620.56 = 8,219.36/x
  3. Step 3: Cross multiply
    25,759.64x = 38,620.56 × 8,219.36
  4. Step 4: Simplify right side
    25,759.64x = 317,436,286.04
  5. Step 5: Solve for x
    x = 317,436,286.04/25,759.64
  6. Step 6: Final answer
    x = 12,323.01

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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.