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Finding the Fourth Proportional to 20,523.48, 30,782.42 and 7,373.96

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Solution

The fourth proportional to 20,523.48, 30,782.42 and 7,373.96 is: 11,059.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,523.48 : 30,782.42 = 7,373.96 : x
  2. Step 2: Convert to fraction form
    20,523.48/30,782.42 = 7,373.96/x
  3. Step 3: Cross multiply
    20,523.48x = 30,782.42 × 7,373.96
  4. Step 4: Simplify right side
    20,523.48x = 226,988,333.78
  5. Step 5: Solve for x
    x = 226,988,333.78/20,523.48
  6. Step 6: Final answer
    x = 11,059.93

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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.