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Finding the Fourth Proportional to 18,642.75, 25,727.54 and 10,259.25

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Solution

The fourth proportional to 18,642.75, 25,727.54 and 10,259.25 is: 14,158.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,642.75 : 25,727.54 = 10,259.25 : x
  2. Step 2: Convert to fraction form
    18,642.75/25,727.54 = 10,259.25/x
  3. Step 3: Cross multiply
    18,642.75x = 25,727.54 × 10,259.25
  4. Step 4: Simplify right side
    18,642.75x = 263,945,213.45
  5. Step 5: Solve for x
    x = 263,945,213.45/18,642.75
  6. Step 6: Final answer
    x = 14,158.06

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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.