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Finding the Fourth Proportional to 12,096.60, 18,134.10 and 4,698.60

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Solution

The fourth proportional to 12,096.60, 18,134.10 and 4,698.60 is: 7,043.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096.60 : 18,134.10 = 4,698.60 : x
  2. Step 2: Convert to fraction form
    12,096.60/18,134.10 = 4,698.60/x
  3. Step 3: Cross multiply
    12,096.60x = 18,134.10 × 4,698.60
  4. Step 4: Simplify right side
    12,096.60x = 85,204,882.26
  5. Step 5: Solve for x
    x = 85,204,882.26/12,096.60
  6. Step 6: Final answer
    x = 7,043.71

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Why These Related Problems?

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