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Finding the Fourth Proportional to 20,524.74, 30,768.48 and 10,652.46

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Solution

The fourth proportional to 20,524.74, 30,768.48 and 10,652.46 is: 15,969.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,524.74 : 30,768.48 = 10,652.46 : x
  2. Step 2: Convert to fraction form
    20,524.74/30,768.48 = 10,652.46/x
  3. Step 3: Cross multiply
    20,524.74x = 30,768.48 × 10,652.46
  4. Step 4: Simplify right side
    20,524.74x = 327,760,002.46
  5. Step 5: Solve for x
    x = 327,760,002.46/20,524.74
  6. Step 6: Final answer
    x = 15,969.02

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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.