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Finding the Fourth Proportional to 14,114.50, 21,169.01 and 13,412.03

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Solution

The fourth proportional to 14,114.50, 21,169.01 and 13,412.03 is: 20,115.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,114.50 : 21,169.01 = 13,412.03 : x
  2. Step 2: Convert to fraction form
    14,114.50/21,169.01 = 13,412.03/x
  3. Step 3: Cross multiply
    14,114.50x = 21,169.01 × 13,412.03
  4. Step 4: Simplify right side
    14,114.50x = 283,919,324.88
  5. Step 5: Solve for x
    x = 283,919,324.88/14,114.50
  6. Step 6: Final answer
    x = 20,115.44

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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.