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Finding the Fourth Proportional to 20,706.38, 31,059.56 and 5,124

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Solution

The fourth proportional to 20,706.38, 31,059.56 and 5,124 is: 7,686

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,706.38 : 31,059.56 = 5,124 : x
  2. Step 2: Convert to fraction form
    20,706.38/31,059.56 = 5,124/x
  3. Step 3: Cross multiply
    20,706.38x = 31,059.56 × 5,124
  4. Step 4: Simplify right side
    20,706.38x = 159,149,198.25
  5. Step 5: Solve for x
    x = 159,149,198.25/20,706.38
  6. Step 6: Final answer
    x = 7,686

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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.