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Finding the Fourth Proportional to 20,504.98, 30,733.57 and 9,412.84

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Solution

The fourth proportional to 20,504.98, 30,733.57 and 9,412.84 is: 14,108.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,504.98 : 30,733.57 = 9,412.84 : x
  2. Step 2: Convert to fraction form
    20,504.98/30,733.57 = 9,412.84/x
  3. Step 3: Cross multiply
    20,504.98x = 30,733.57 × 9,412.84
  4. Step 4: Simplify right side
    20,504.98x = 289,290,177.04
  5. Step 5: Solve for x
    x = 289,290,177.04/20,504.98
  6. Step 6: Final answer
    x = 14,108.29

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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.