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Finding the Fourth Proportional to 12,169, 18,253.84 and 3,961

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Solution

The fourth proportional to 12,169, 18,253.84 and 3,961 is: 5,941.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,169 : 18,253.84 = 3,961 : x
  2. Step 2: Convert to fraction form
    12,169/18,253.84 = 3,961/x
  3. Step 3: Cross multiply
    12,169x = 18,253.84 × 3,961
  4. Step 4: Simplify right side
    12,169x = 72,303,460.24
  5. Step 5: Solve for x
    x = 72,303,460.24/12,169
  6. Step 6: Final answer
    x = 5,941.61

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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.