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Finding the Fourth Proportional to 20,033.96, 30,052.67 and 5,242.86

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Solution

The fourth proportional to 20,033.96, 30,052.67 and 5,242.86 is: 7,864.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,033.96 : 30,052.67 = 5,242.86 : x
  2. Step 2: Convert to fraction form
    20,033.96/30,052.67 = 5,242.86/x
  3. Step 3: Cross multiply
    20,033.96x = 30,052.67 × 5,242.86
  4. Step 4: Simplify right side
    20,033.96x = 157,561,915.22
  5. Step 5: Solve for x
    x = 157,561,915.22/20,033.96
  6. Step 6: Final answer
    x = 7,864.74

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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.