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Finding the Fourth Proportional to 18,353.76, 25,322.16 and 10,286.24

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Solution

The fourth proportional to 18,353.76, 25,322.16 and 10,286.24 is: 14,191.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,353.76 : 25,322.16 = 10,286.24 : x
  2. Step 2: Convert to fraction form
    18,353.76/25,322.16 = 10,286.24/x
  3. Step 3: Cross multiply
    18,353.76x = 25,322.16 × 10,286.24
  4. Step 4: Simplify right side
    18,353.76x = 260,469,714.18
  5. Step 5: Solve for x
    x = 260,469,714.18/18,353.76
  6. Step 6: Final answer
    x = 14,191.63

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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.