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Finding the Fourth Proportional to 20,882.71, 31,325.89 and 5,300.34

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Solution

The fourth proportional to 20,882.71, 31,325.89 and 5,300.34 is: 7,950.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,882.71 : 31,325.89 = 5,300.34 : x
  2. Step 2: Convert to fraction form
    20,882.71/31,325.89 = 5,300.34/x
  3. Step 3: Cross multiply
    20,882.71x = 31,325.89 × 5,300.34
  4. Step 4: Simplify right side
    20,882.71x = 166,037,867.80
  5. Step 5: Solve for x
    x = 166,037,867.80/20,882.71
  6. Step 6: Final answer
    x = 7,950.97

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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.