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Finding the Fourth Proportional to 11,898.54, 17,846.42 and 3,134.14

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Solution

The fourth proportional to 11,898.54, 17,846.42 and 3,134.14 is: 4,700.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,898.54 : 17,846.42 = 3,134.14 : x
  2. Step 2: Convert to fraction form
    11,898.54/17,846.42 = 3,134.14/x
  3. Step 3: Cross multiply
    11,898.54x = 17,846.42 × 3,134.14
  4. Step 4: Simplify right side
    11,898.54x = 55,933,118.49
  5. Step 5: Solve for x
    x = 55,933,118.49/11,898.54
  6. Step 6: Final answer
    x = 4,700.84

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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.