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Finding the Fourth Proportional to 20,771.31, 31,162.23 and 5,980.23

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Solution

The fourth proportional to 20,771.31, 31,162.23 and 5,980.23 is: 8,971.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,771.31 : 31,162.23 = 5,980.23 : x
  2. Step 2: Convert to fraction form
    20,771.31/31,162.23 = 5,980.23/x
  3. Step 3: Cross multiply
    20,771.31x = 31,162.23 × 5,980.23
  4. Step 4: Simplify right side
    20,771.31x = 186,357,302.71
  5. Step 5: Solve for x
    x = 186,357,302.71/20,771.31
  6. Step 6: Final answer
    x = 8,971.86

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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.