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Finding the Fourth Proportional to 25,096.56, 37,651.24 and 9,514.48

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Solution

The fourth proportional to 25,096.56, 37,651.24 and 9,514.48 is: 14,274.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,096.56 : 37,651.24 = 9,514.48 : x
  2. Step 2: Convert to fraction form
    25,096.56/37,651.24 = 9,514.48/x
  3. Step 3: Cross multiply
    25,096.56x = 37,651.24 × 9,514.48
  4. Step 4: Simplify right side
    25,096.56x = 358,231,969.96
  5. Step 5: Solve for x
    x = 358,231,969.96/25,096.56
  6. Step 6: Final answer
    x = 14,274.15

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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.