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Finding the Fourth Proportional to 20,290.26, 30,416.76 and 7,806.54

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Solution

The fourth proportional to 20,290.26, 30,416.76 and 7,806.54 is: 11,702.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,290.26 : 30,416.76 = 7,806.54 : x
  2. Step 2: Convert to fraction form
    20,290.26/30,416.76 = 7,806.54/x
  3. Step 3: Cross multiply
    20,290.26x = 30,416.76 × 7,806.54
  4. Step 4: Simplify right side
    20,290.26x = 237,449,653.61
  5. Step 5: Solve for x
    x = 237,449,653.61/20,290.26
  6. Step 6: Final answer
    x = 11,702.64

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