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Finding the Fourth Proportional to 17,701.83, 24,419.34 and 14,348.43

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Solution

The fourth proportional to 17,701.83, 24,419.34 and 14,348.43 is: 19,793.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,701.83 : 24,419.34 = 14,348.43 : x
  2. Step 2: Convert to fraction form
    17,701.83/24,419.34 = 14,348.43/x
  3. Step 3: Cross multiply
    17,701.83x = 24,419.34 × 14,348.43
  4. Step 4: Simplify right side
    17,701.83x = 350,379,190.64
  5. Step 5: Solve for x
    x = 350,379,190.64/17,701.83
  6. Step 6: Final answer
    x = 19,793.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.