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Finding the Fourth Proportional to 17,719.75, 24,456.50 and 10,267.75

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Solution

The fourth proportional to 17,719.75, 24,456.50 and 10,267.75 is: 14,171.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,719.75 : 24,456.50 = 10,267.75 : x
  2. Step 2: Convert to fraction form
    17,719.75/24,456.50 = 10,267.75/x
  3. Step 3: Cross multiply
    17,719.75x = 24,456.50 × 10,267.75
  4. Step 4: Simplify right side
    17,719.75x = 251,113,227.88
  5. Step 5: Solve for x
    x = 251,113,227.88/17,719.75
  6. Step 6: Final answer
    x = 14,171.38

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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.