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Finding the Fourth Proportional to 25,896.96, 35,735.28 and 14,563.80

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Solution

The fourth proportional to 25,896.96, 35,735.28 and 14,563.80 is: 20,096.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,896.96 : 35,735.28 = 14,563.80 : x
  2. Step 2: Convert to fraction form
    25,896.96/35,735.28 = 14,563.80/x
  3. Step 3: Cross multiply
    25,896.96x = 35,735.28 × 14,563.80
  4. Step 4: Simplify right side
    25,896.96x = 520,441,470.86
  5. Step 5: Solve for x
    x = 520,441,470.86/25,896.96
  6. Step 6: Final answer
    x = 20,096.62

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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.