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Finding the Fourth Proportional to 14,735.99, 20,203.07 and 14,469.46

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Solution

The fourth proportional to 14,735.99, 20,203.07 and 14,469.46 is: 19,837.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,735.99 : 20,203.07 = 14,469.46 : x
  2. Step 2: Convert to fraction form
    14,735.99/20,203.07 = 14,469.46/x
  3. Step 3: Cross multiply
    14,735.99x = 20,203.07 × 14,469.46
  4. Step 4: Simplify right side
    14,735.99x = 292,327,390.39
  5. Step 5: Solve for x
    x = 292,327,390.39/14,735.99
  6. Step 6: Final answer
    x = 19,837.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.