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Finding the Fourth Proportional to 14,149.85, 21,222.03 and 13,447.40

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Solution

The fourth proportional to 14,149.85, 21,222.03 and 13,447.40 is: 20,168.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,149.85 : 21,222.03 = 13,447.40 : x
  2. Step 2: Convert to fraction form
    14,149.85/21,222.03 = 13,447.40/x
  3. Step 3: Cross multiply
    14,149.85x = 21,222.03 × 13,447.40
  4. Step 4: Simplify right side
    14,149.85x = 285,381,126.22
  5. Step 5: Solve for x
    x = 285,381,126.22/14,149.85
  6. Step 6: Final answer
    x = 20,168.49

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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.