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Finding the Fourth Proportional to 18,506.37, 27,738.74 and 9,126.54

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Solution

The fourth proportional to 18,506.37, 27,738.74 and 9,126.54 is: 13,679.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,506.37 : 27,738.74 = 9,126.54 : x
  2. Step 2: Convert to fraction form
    18,506.37/27,738.74 = 9,126.54/x
  3. Step 3: Cross multiply
    18,506.37x = 27,738.74 × 9,126.54
  4. Step 4: Simplify right side
    18,506.37x = 253,158,674.53
  5. Step 5: Solve for x
    x = 253,158,674.53/18,506.37
  6. Step 6: Final answer
    x = 13,679.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.