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Finding the Fourth Proportional to 20,478.38, 30,724.96 and 7,153.34

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Solution

The fourth proportional to 20,478.38, 30,724.96 and 7,153.34 is: 10,732.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,478.38 : 30,724.96 = 7,153.34 : x
  2. Step 2: Convert to fraction form
    20,478.38/30,724.96 = 7,153.34/x
  3. Step 3: Cross multiply
    20,478.38x = 30,724.96 × 7,153.34
  4. Step 4: Simplify right side
    20,478.38x = 219,786,085.37
  5. Step 5: Solve for x
    x = 219,786,085.37/20,478.38
  6. Step 6: Final answer
    x = 10,732.59

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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.