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Finding the Fourth Proportional to 18,234.24, 25,163.58 and 10,686

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Solution

The fourth proportional to 18,234.24, 25,163.58 and 10,686 is: 14,746.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,234.24 : 25,163.58 = 10,686 : x
  2. Step 2: Convert to fraction form
    18,234.24/25,163.58 = 10,686/x
  3. Step 3: Cross multiply
    18,234.24x = 25,163.58 × 10,686
  4. Step 4: Simplify right side
    18,234.24x = 268,898,015.88
  5. Step 5: Solve for x
    x = 268,898,015.88/18,234.24
  6. Step 6: Final answer
    x = 14,746.87

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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.