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Finding the Fourth Proportional to 13,405.50, 20,108.25 and 5,614.31

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Solution

The fourth proportional to 13,405.50, 20,108.25 and 5,614.31 is: 8,421.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,405.50 : 20,108.25 = 5,614.31 : x
  2. Step 2: Convert to fraction form
    13,405.50/20,108.25 = 5,614.31/x
  3. Step 3: Cross multiply
    13,405.50x = 20,108.25 × 5,614.31
  4. Step 4: Simplify right side
    13,405.50x = 112,893,999.33
  5. Step 5: Solve for x
    x = 112,893,999.33/13,405.50
  6. Step 6: Final answer
    x = 8,421.47

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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.