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Finding the Fourth Proportional to 20,203.34, 30,306.63 and 5,412.12

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Solution

The fourth proportional to 20,203.34, 30,306.63 and 5,412.12 is: 8,118.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,203.34 : 30,306.63 = 5,412.12 : x
  2. Step 2: Convert to fraction form
    20,203.34/30,306.63 = 5,412.12/x
  3. Step 3: Cross multiply
    20,203.34x = 30,306.63 × 5,412.12
  4. Step 4: Simplify right side
    20,203.34x = 164,023,118.36
  5. Step 5: Solve for x
    x = 164,023,118.36/20,203.34
  6. Step 6: Final answer
    x = 8,118.62

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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.