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Finding the Fourth Proportional to 18,702.75, 25,813.13 and 11,149.57

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Solution

The fourth proportional to 18,702.75, 25,813.13 and 11,149.57 is: 15,388.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,702.75 : 25,813.13 = 11,149.57 : x
  2. Step 2: Convert to fraction form
    18,702.75/25,813.13 = 11,149.57/x
  3. Step 3: Cross multiply
    18,702.75x = 25,813.13 × 11,149.57
  4. Step 4: Simplify right side
    18,702.75x = 287,805,193.89
  5. Step 5: Solve for x
    x = 287,805,193.89/18,702.75
  6. Step 6: Final answer
    x = 15,388.39

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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.