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Finding the Fourth Proportional to 17,648.39, 24,351.89 and 10,093.50

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Solution

The fourth proportional to 17,648.39, 24,351.89 and 10,093.50 is: 13,927.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,648.39 : 24,351.89 = 10,093.50 : x
  2. Step 2: Convert to fraction form
    17,648.39/24,351.89 = 10,093.50/x
  3. Step 3: Cross multiply
    17,648.39x = 24,351.89 × 10,093.50
  4. Step 4: Simplify right side
    17,648.39x = 245,795,801.72
  5. Step 5: Solve for x
    x = 245,795,801.72/17,648.39
  6. Step 6: Final answer
    x = 13,927.38

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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.