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Finding the Fourth Proportional to 12,166.84, 18,249.54 and 3,401.56

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Solution

The fourth proportional to 12,166.84, 18,249.54 and 3,401.56 is: 5,102.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166.84 : 18,249.54 = 3,401.56 : x
  2. Step 2: Convert to fraction form
    12,166.84/18,249.54 = 3,401.56/x
  3. Step 3: Cross multiply
    12,166.84x = 18,249.54 × 3,401.56
  4. Step 4: Simplify right side
    12,166.84x = 62,076,905.28
  5. Step 5: Solve for x
    x = 62,076,905.28/12,166.84
  6. Step 6: Final answer
    x = 5,102.14

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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.