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Finding the Fourth Proportional to 20,709.54, 31,041.97 and 10,167.30

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Solution

The fourth proportional to 20,709.54, 31,041.97 and 10,167.30 is: 15,239.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,709.54 : 31,041.97 = 10,167.30 : x
  2. Step 2: Convert to fraction form
    20,709.54/31,041.97 = 10,167.30/x
  3. Step 3: Cross multiply
    20,709.54x = 31,041.97 × 10,167.30
  4. Step 4: Simplify right side
    20,709.54x = 315,612,996.16
  5. Step 5: Solve for x
    x = 315,612,996.16/20,709.54
  6. Step 6: Final answer
    x = 15,239.98

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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.