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Finding the Fourth Proportional to 18,234.34, 25,164.78 and 10,277.32

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Solution

The fourth proportional to 18,234.34, 25,164.78 and 10,277.32 is: 14,183.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,234.34 : 25,164.78 = 10,277.32 : x
  2. Step 2: Convert to fraction form
    18,234.34/25,164.78 = 10,277.32/x
  3. Step 3: Cross multiply
    18,234.34x = 25,164.78 × 10,277.32
  4. Step 4: Simplify right side
    18,234.34x = 258,626,496.79
  5. Step 5: Solve for x
    x = 258,626,496.79/18,234.34
  6. Step 6: Final answer
    x = 14,183.49

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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.