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Finding the Fourth Proportional to 30,652.08, 42,297.57 and 17,221.20

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Solution

The fourth proportional to 30,652.08, 42,297.57 and 17,221.20 is: 23,763.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,652.08 : 42,297.57 = 17,221.20 : x
  2. Step 2: Convert to fraction form
    30,652.08/42,297.57 = 17,221.20/x
  3. Step 3: Cross multiply
    30,652.08x = 42,297.57 × 17,221.20
  4. Step 4: Simplify right side
    30,652.08x = 728,414,912.48
  5. Step 5: Solve for x
    x = 728,414,912.48/30,652.08
  6. Step 6: Final answer
    x = 23,763.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.