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Finding the Fourth Proportional to 25,414.56, 38,104.83 and 9,813.96

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Solution

The fourth proportional to 25,414.56, 38,104.83 and 9,813.96 is: 14,714.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,414.56 : 38,104.83 = 9,813.96 : x
  2. Step 2: Convert to fraction form
    25,414.56/38,104.83 = 9,813.96/x
  3. Step 3: Cross multiply
    25,414.56x = 38,104.83 × 9,813.96
  4. Step 4: Simplify right side
    25,414.56x = 373,959,277.43
  5. Step 5: Solve for x
    x = 373,959,277.43/25,414.56
  6. Step 6: Final answer
    x = 14,714.37

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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.