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Finding the Fourth Proportional to 25,797.57, 38,696.36 and 8,268.77

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Solution

The fourth proportional to 25,797.57, 38,696.36 and 8,268.77 is: 12,403.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,797.57 : 38,696.36 = 8,268.77 : x
  2. Step 2: Convert to fraction form
    25,797.57/38,696.36 = 8,268.77/x
  3. Step 3: Cross multiply
    25,797.57x = 38,696.36 × 8,268.77
  4. Step 4: Simplify right side
    25,797.57x = 319,971,065.85
  5. Step 5: Solve for x
    x = 319,971,065.85/25,797.57
  6. Step 6: Final answer
    x = 12,403.15

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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.