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Finding the Fourth Proportional to 17,191.44, 23,724 and 15,780.84

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Solution

The fourth proportional to 17,191.44, 23,724 and 15,780.84 is: 21,777.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,191.44 : 23,724 = 15,780.84 : x
  2. Step 2: Convert to fraction form
    17,191.44/23,724 = 15,780.84/x
  3. Step 3: Cross multiply
    17,191.44x = 23,724 × 15,780.84
  4. Step 4: Simplify right side
    17,191.44x = 374,384,648.16
  5. Step 5: Solve for x
    x = 374,384,648.16/17,191.44
  6. Step 6: Final answer
    x = 21,777.39

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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.