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Finding the Fourth Proportional to 25,682.49, 35,438.99 and 14,504.49

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Solution

The fourth proportional to 25,682.49, 35,438.99 and 14,504.49 is: 20,014.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,682.49 : 35,438.99 = 14,504.49 : x
  2. Step 2: Convert to fraction form
    25,682.49/35,438.99 = 14,504.49/x
  3. Step 3: Cross multiply
    25,682.49x = 35,438.99 × 14,504.49
  4. Step 4: Simplify right side
    25,682.49x = 514,024,403.54
  5. Step 5: Solve for x
    x = 514,024,403.54/25,682.49
  6. Step 6: Final answer
    x = 20,014.59

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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.