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Finding the Fourth Proportional to 20,508.29, 30,762.44 and 6,657.29

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Solution

The fourth proportional to 20,508.29, 30,762.44 and 6,657.29 is: 9,985.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,508.29 : 30,762.44 = 6,657.29 : x
  2. Step 2: Convert to fraction form
    20,508.29/30,762.44 = 6,657.29/x
  3. Step 3: Cross multiply
    20,508.29x = 30,762.44 × 6,657.29
  4. Step 4: Simplify right side
    20,508.29x = 204,794,297.09
  5. Step 5: Solve for x
    x = 204,794,297.09/20,508.29
  6. Step 6: Final answer
    x = 9,985.93

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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.