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Finding the Fourth Proportional to 11,814.92, 17,723.34 and 4,317.64

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Solution

The fourth proportional to 11,814.92, 17,723.34 and 4,317.64 is: 6,476.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814.92 : 17,723.34 = 4,317.64 : x
  2. Step 2: Convert to fraction form
    11,814.92/17,723.34 = 4,317.64/x
  3. Step 3: Cross multiply
    11,814.92x = 17,723.34 × 4,317.64
  4. Step 4: Simplify right side
    11,814.92x = 76,523,001.72
  5. Step 5: Solve for x
    x = 76,523,001.72/11,814.92
  6. Step 6: Final answer
    x = 6,476.81

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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.