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Finding the Fourth Proportional to 14,049.10, 20,914.61 and 13,975.66

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Solution

The fourth proportional to 14,049.10, 20,914.61 and 13,975.66 is: 20,805.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,049.10 : 20,914.61 = 13,975.66 : x
  2. Step 2: Convert to fraction form
    14,049.10/20,914.61 = 13,975.66/x
  3. Step 3: Cross multiply
    14,049.10x = 20,914.61 × 13,975.66
  4. Step 4: Simplify right side
    14,049.10x = 292,295,478.39
  5. Step 5: Solve for x
    x = 292,295,478.39/14,049.10
  6. Step 6: Final answer
    x = 20,805.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.