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Finding the Fourth Proportional to 25,771.28, 35,485.28 and 22,566.24

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Solution

The fourth proportional to 25,771.28, 35,485.28 and 22,566.24 is: 31,072.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,771.28 : 35,485.28 = 22,566.24 : x
  2. Step 2: Convert to fraction form
    25,771.28/35,485.28 = 22,566.24/x
  3. Step 3: Cross multiply
    25,771.28x = 35,485.28 × 22,566.24
  4. Step 4: Simplify right side
    25,771.28x = 800,769,344.95
  5. Step 5: Solve for x
    x = 800,769,344.95/25,771.28
  6. Step 6: Final answer
    x = 31,072.16

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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.