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Finding the Fourth Proportional to 18,642.86, 25,727.64 and 10,145.48

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Solution

The fourth proportional to 18,642.86, 25,727.64 and 10,145.48 is: 14,001.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,642.86 : 25,727.64 = 10,145.48 : x
  2. Step 2: Convert to fraction form
    18,642.86/25,727.64 = 10,145.48/x
  3. Step 3: Cross multiply
    18,642.86x = 25,727.64 × 10,145.48
  4. Step 4: Simplify right side
    18,642.86x = 261,019,257.07
  5. Step 5: Solve for x
    x = 261,019,257.07/18,642.86
  6. Step 6: Final answer
    x = 14,001.03

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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.