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Finding the Fourth Proportional to 25,902.80, 38,858.04 and 8,366.80

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Solution

The fourth proportional to 25,902.80, 38,858.04 and 8,366.80 is: 12,551.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,902.80 : 38,858.04 = 8,366.80 : x
  2. Step 2: Convert to fraction form
    25,902.80/38,858.04 = 8,366.80/x
  3. Step 3: Cross multiply
    25,902.80x = 38,858.04 × 8,366.80
  4. Step 4: Simplify right side
    25,902.80x = 325,117,449.07
  5. Step 5: Solve for x
    x = 325,117,449.07/25,902.80
  6. Step 6: Final answer
    x = 12,551.44

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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.