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Finding the Fourth Proportional to 20,511, 30,769.47 and 6,466.28

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Solution

The fourth proportional to 20,511, 30,769.47 and 6,466.28 is: 9,700.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,511 : 30,769.47 = 6,466.28 : x
  2. Step 2: Convert to fraction form
    20,511/30,769.47 = 6,466.28/x
  3. Step 3: Cross multiply
    20,511x = 30,769.47 × 6,466.28
  4. Step 4: Simplify right side
    20,511x = 198,964,008.47
  5. Step 5: Solve for x
    x = 198,964,008.47/20,511
  6. Step 6: Final answer
    x = 9,700.36

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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.