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Finding the Fourth Proportional to 18,322.56, 25,286.25 and 10,256.06

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Solution

The fourth proportional to 18,322.56, 25,286.25 and 10,256.06 is: 14,153.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,322.56 : 25,286.25 = 10,256.06 : x
  2. Step 2: Convert to fraction form
    18,322.56/25,286.25 = 10,256.06/x
  3. Step 3: Cross multiply
    18,322.56x = 25,286.25 × 10,256.06
  4. Step 4: Simplify right side
    18,322.56x = 259,337,398.85
  5. Step 5: Solve for x
    x = 259,337,398.85/18,322.56
  6. Step 6: Final answer
    x = 14,153.99

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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.