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Finding the Fourth Proportional to 25,889.41, 35,727.15 and 14,558.97

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Solution

The fourth proportional to 25,889.41, 35,727.15 and 14,558.97 is: 20,091.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,889.41 : 35,727.15 = 14,558.97 : x
  2. Step 2: Convert to fraction form
    25,889.41/35,727.15 = 14,558.97/x
  3. Step 3: Cross multiply
    25,889.41x = 35,727.15 × 14,558.97
  4. Step 4: Simplify right side
    25,889.41x = 520,150,505.04
  5. Step 5: Solve for x
    x = 520,150,505.04/25,889.41
  6. Step 6: Final answer
    x = 20,091.25

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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.