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Finding the Fourth Proportional to 20,310.32, 30,466.02 and 9,778.70

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Solution

The fourth proportional to 20,310.32, 30,466.02 and 9,778.70 is: 14,668.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,310.32 : 30,466.02 = 9,778.70 : x
  2. Step 2: Convert to fraction form
    20,310.32/30,466.02 = 9,778.70/x
  3. Step 3: Cross multiply
    20,310.32x = 30,466.02 × 9,778.70
  4. Step 4: Simplify right side
    20,310.32x = 297,918,069.77
  5. Step 5: Solve for x
    x = 297,918,069.77/20,310.32
  6. Step 6: Final answer
    x = 14,668.31

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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.