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Finding the Fourth Proportional to 20,295.90, 30,423.33 and 7,806.24

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Solution

The fourth proportional to 20,295.90, 30,423.33 and 7,806.24 is: 11,701.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,295.90 : 30,423.33 = 7,806.24 : x
  2. Step 2: Convert to fraction form
    20,295.90/30,423.33 = 7,806.24/x
  3. Step 3: Cross multiply
    20,295.90x = 30,423.33 × 7,806.24
  4. Step 4: Simplify right side
    20,295.90x = 237,491,815.58
  5. Step 5: Solve for x
    x = 237,491,815.58/20,295.90
  6. Step 6: Final answer
    x = 11,701.47

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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.