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Finding the Fourth Proportional to 20,306.12, 30,415.44 and 9,896

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Solution

The fourth proportional to 20,306.12, 30,415.44 and 9,896 is: 14,822.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,306.12 : 30,415.44 = 9,896 : x
  2. Step 2: Convert to fraction form
    20,306.12/30,415.44 = 9,896/x
  3. Step 3: Cross multiply
    20,306.12x = 30,415.44 × 9,896
  4. Step 4: Simplify right side
    20,306.12x = 300,991,194.24
  5. Step 5: Solve for x
    x = 300,991,194.24/20,306.12
  6. Step 6: Final answer
    x = 14,822.68

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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.