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Finding the Fourth Proportional to 20,212.82, 30,305.52 and 7,058

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Solution

The fourth proportional to 20,212.82, 30,305.52 and 7,058 is: 10,582.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,212.82 : 30,305.52 = 7,058 : x
  2. Step 2: Convert to fraction form
    20,212.82/30,305.52 = 7,058/x
  3. Step 3: Cross multiply
    20,212.82x = 30,305.52 × 7,058
  4. Step 4: Simplify right side
    20,212.82x = 213,896,360.16
  5. Step 5: Solve for x
    x = 213,896,360.16/20,212.82
  6. Step 6: Final answer
    x = 10,582.21

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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.