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Finding the Fourth Proportional to 25,986.30, 38,928.22 and 13,514.46

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Solution

The fourth proportional to 25,986.30, 38,928.22 and 13,514.46 is: 20,245.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,986.30 : 38,928.22 = 13,514.46 : x
  2. Step 2: Convert to fraction form
    25,986.30/38,928.22 = 13,514.46/x
  3. Step 3: Cross multiply
    25,986.30x = 38,928.22 × 13,514.46
  4. Step 4: Simplify right side
    25,986.30x = 526,093,872.06
  5. Step 5: Solve for x
    x = 526,093,872.06/25,986.30
  6. Step 6: Final answer
    x = 20,245.05

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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.