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Finding the Fourth Proportional to 25,712.49, 35,481.82 and 14,382.44

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Solution

The fourth proportional to 25,712.49, 35,481.82 and 14,382.44 is: 19,846.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,712.49 : 35,481.82 = 14,382.44 : x
  2. Step 2: Convert to fraction form
    25,712.49/35,481.82 = 14,382.44/x
  3. Step 3: Cross multiply
    25,712.49x = 35,481.82 × 14,382.44
  4. Step 4: Simplify right side
    25,712.49x = 510,315,147.24
  5. Step 5: Solve for x
    x = 510,315,147.24/25,712.49
  6. Step 6: Final answer
    x = 19,846.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.