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Finding the Fourth Proportional to 17,951, 24,772.95 and 11,234.48

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Solution

The fourth proportional to 17,951, 24,772.95 and 11,234.48 is: 15,503.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,951 : 24,772.95 = 11,234.48 : x
  2. Step 2: Convert to fraction form
    17,951/24,772.95 = 11,234.48/x
  3. Step 3: Cross multiply
    17,951x = 24,772.95 × 11,234.48
  4. Step 4: Simplify right side
    17,951x = 278,311,211.32
  5. Step 5: Solve for x
    x = 278,311,211.32/17,951
  6. Step 6: Final answer
    x = 15,503.94

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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.