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Finding the Fourth Proportional to 28,456, 39,205.18 and 19,834.05

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Solution

The fourth proportional to 28,456, 39,205.18 and 19,834.05 is: 27,326.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,456 : 39,205.18 = 19,834.05 : x
  2. Step 2: Convert to fraction form
    28,456/39,205.18 = 19,834.05/x
  3. Step 3: Cross multiply
    28,456x = 39,205.18 × 19,834.05
  4. Step 4: Simplify right side
    28,456x = 777,597,500.38
  5. Step 5: Solve for x
    x = 777,597,500.38/28,456
  6. Step 6: Final answer
    x = 27,326.31

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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.