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Finding the Fourth Proportional to 11,614.08, 17,429.49 and 4,219.05

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Solution

The fourth proportional to 11,614.08, 17,429.49 and 4,219.05 is: 6,331.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.08 : 17,429.49 = 4,219.05 : x
  2. Step 2: Convert to fraction form
    11,614.08/17,429.49 = 4,219.05/x
  3. Step 3: Cross multiply
    11,614.08x = 17,429.49 × 4,219.05
  4. Step 4: Simplify right side
    11,614.08x = 73,535,889.78
  5. Step 5: Solve for x
    x = 73,535,889.78/11,614.08
  6. Step 6: Final answer
    x = 6,331.62

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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.