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Finding the Fourth Proportional to 25,825.89, 38,714.22 and 11,014.41

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Solution

The fourth proportional to 25,825.89, 38,714.22 and 11,014.41 is: 16,511.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,825.89 : 38,714.22 = 11,014.41 : x
  2. Step 2: Convert to fraction form
    25,825.89/38,714.22 = 11,014.41/x
  3. Step 3: Cross multiply
    25,825.89x = 38,714.22 × 11,014.41
  4. Step 4: Simplify right side
    25,825.89x = 426,414,291.91
  5. Step 5: Solve for x
    x = 426,414,291.91/25,825.89
  6. Step 6: Final answer
    x = 16,511.12

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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.