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Finding the Fourth Proportional to 25,367.44, 38,054.80 and 7,838.76

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Solution

The fourth proportional to 25,367.44, 38,054.80 and 7,838.76 is: 11,759.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,367.44 : 38,054.80 = 7,838.76 : x
  2. Step 2: Convert to fraction form
    25,367.44/38,054.80 = 7,838.76/x
  3. Step 3: Cross multiply
    25,367.44x = 38,054.80 × 7,838.76
  4. Step 4: Simplify right side
    25,367.44x = 298,302,444.05
  5. Step 5: Solve for x
    x = 298,302,444.05/25,367.44
  6. Step 6: Final answer
    x = 11,759.26

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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.