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Finding the Fourth Proportional to 20,477.38, 30,723.46 and 7,152.34

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Solution

The fourth proportional to 20,477.38, 30,723.46 and 7,152.34 is: 10,731.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,477.38 : 30,723.46 = 7,152.34 : x
  2. Step 2: Convert to fraction form
    20,477.38/30,723.46 = 7,152.34/x
  3. Step 3: Cross multiply
    20,477.38x = 30,723.46 × 7,152.34
  4. Step 4: Simplify right side
    20,477.38x = 219,744,601.90
  5. Step 5: Solve for x
    x = 219,744,601.90/20,477.38
  6. Step 6: Final answer
    x = 10,731.09

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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.