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Finding the Fourth Proportional to 25,514.98, 38,268.16 and 7,741.36

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Solution

The fourth proportional to 25,514.98, 38,268.16 and 7,741.36 is: 11,610.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,514.98 : 38,268.16 = 7,741.36 : x
  2. Step 2: Convert to fraction form
    25,514.98/38,268.16 = 7,741.36/x
  3. Step 3: Cross multiply
    25,514.98x = 38,268.16 × 7,741.36
  4. Step 4: Simplify right side
    25,514.98x = 296,247,405.57
  5. Step 5: Solve for x
    x = 296,247,405.57/25,514.98
  6. Step 6: Final answer
    x = 11,610.72

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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.