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Finding the Fourth Proportional to 20,198.02, 30,297.06 and 9,665.56

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Solution

The fourth proportional to 20,198.02, 30,297.06 and 9,665.56 is: 14,498.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,198.02 : 30,297.06 = 9,665.56 : x
  2. Step 2: Convert to fraction form
    20,198.02/30,297.06 = 9,665.56/x
  3. Step 3: Cross multiply
    20,198.02x = 30,297.06 × 9,665.56
  4. Step 4: Simplify right side
    20,198.02x = 292,838,051.25
  5. Step 5: Solve for x
    x = 292,838,051.25/20,198.02
  6. Step 6: Final answer
    x = 14,498.35

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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.