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Finding the Fourth Proportional to 20,704.14, 31,057.20 and 5,915.20

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Solution

The fourth proportional to 20,704.14, 31,057.20 and 5,915.20 is: 8,873.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,704.14 : 31,057.20 = 5,915.20 : x
  2. Step 2: Convert to fraction form
    20,704.14/31,057.20 = 5,915.20/x
  3. Step 3: Cross multiply
    20,704.14x = 31,057.20 × 5,915.20
  4. Step 4: Simplify right side
    20,704.14x = 183,709,549.44
  5. Step 5: Solve for x
    x = 183,709,549.44/20,704.14
  6. Step 6: Final answer
    x = 8,873.08

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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.