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Finding the Fourth Proportional to 11,614.43, 17,421.23 and 3,294.42

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Solution

The fourth proportional to 11,614.43, 17,421.23 and 3,294.42 is: 4,941.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.43 : 17,421.23 = 3,294.42 : x
  2. Step 2: Convert to fraction form
    11,614.43/17,421.23 = 3,294.42/x
  3. Step 3: Cross multiply
    11,614.43x = 17,421.23 × 3,294.42
  4. Step 4: Simplify right side
    11,614.43x = 57,392,772.91
  5. Step 5: Solve for x
    x = 57,392,772.91/11,614.43
  6. Step 6: Final answer
    x = 4,941.50

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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.