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Finding the Fourth Proportional to 25,728.96, 35,512.64 and 14,557.44

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Solution

The fourth proportional to 25,728.96, 35,512.64 and 14,557.44 is: 20,093.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,728.96 : 35,512.64 = 14,557.44 : x
  2. Step 2: Convert to fraction form
    25,728.96/35,512.64 = 14,557.44/x
  3. Step 3: Cross multiply
    25,728.96x = 35,512.64 × 14,557.44
  4. Step 4: Simplify right side
    25,728.96x = 516,973,126.04
  5. Step 5: Solve for x
    x = 516,973,126.04/25,728.96
  6. Step 6: Final answer
    x = 20,093.04

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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.