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Finding the Fourth Proportional to 25,739.40, 35,517.78 and 14,408.16

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Solution

The fourth proportional to 25,739.40, 35,517.78 and 14,408.16 is: 19,881.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,739.40 : 35,517.78 = 14,408.16 : x
  2. Step 2: Convert to fraction form
    25,739.40/35,517.78 = 14,408.16/x
  3. Step 3: Cross multiply
    25,739.40x = 35,517.78 × 14,408.16
  4. Step 4: Simplify right side
    25,739.40x = 511,745,857.08
  5. Step 5: Solve for x
    x = 511,745,857.08/25,739.40
  6. Step 6: Final answer
    x = 19,881.81

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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.