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Finding the Fourth Proportional to 20,735.87, 31,079.70 and 11,857.46

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Solution

The fourth proportional to 20,735.87, 31,079.70 and 11,857.46 is: 17,772.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,735.87 : 31,079.70 = 11,857.46 : x
  2. Step 2: Convert to fraction form
    20,735.87/31,079.70 = 11,857.46/x
  3. Step 3: Cross multiply
    20,735.87x = 31,079.70 × 11,857.46
  4. Step 4: Simplify right side
    20,735.87x = 368,526,144.16
  5. Step 5: Solve for x
    x = 368,526,144.16/20,735.87
  6. Step 6: Final answer
    x = 17,772.40

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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.