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Finding the Fourth Proportional to 12,076.35, 18,114.60 and 5,497.94

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Solution

The fourth proportional to 12,076.35, 18,114.60 and 5,497.94 is: 8,246.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,076.35 : 18,114.60 = 5,497.94 : x
  2. Step 2: Convert to fraction form
    12,076.35/18,114.60 = 5,497.94/x
  3. Step 3: Cross multiply
    12,076.35x = 18,114.60 × 5,497.94
  4. Step 4: Simplify right side
    12,076.35x = 99,592,983.92
  5. Step 5: Solve for x
    x = 99,592,983.92/12,076.35
  6. Step 6: Final answer
    x = 8,246.94

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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.