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Finding the Fourth Proportional to 20,184.68, 30,269.34 and 9,233

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Solution

The fourth proportional to 20,184.68, 30,269.34 and 9,233 is: 13,845.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,184.68 : 30,269.34 = 9,233 : x
  2. Step 2: Convert to fraction form
    20,184.68/30,269.34 = 9,233/x
  3. Step 3: Cross multiply
    20,184.68x = 30,269.34 × 9,233
  4. Step 4: Simplify right side
    20,184.68x = 279,476,816.22
  5. Step 5: Solve for x
    x = 279,476,816.22/20,184.68
  6. Step 6: Final answer
    x = 13,845.99

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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.