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Finding the Fourth Proportional to 18,702.26, 28,046.10 and 7,605.80

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Solution

The fourth proportional to 18,702.26, 28,046.10 and 7,605.80 is: 11,405.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,702.26 : 28,046.10 = 7,605.80 : x
  2. Step 2: Convert to fraction form
    18,702.26/28,046.10 = 7,605.80/x
  3. Step 3: Cross multiply
    18,702.26x = 28,046.10 × 7,605.80
  4. Step 4: Simplify right side
    18,702.26x = 213,313,027.38
  5. Step 5: Solve for x
    x = 213,313,027.38/18,702.26
  6. Step 6: Final answer
    x = 11,405.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.