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Finding the Fourth Proportional to 20,996.70, 31,509.45 and 9,318.30

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Solution

The fourth proportional to 20,996.70, 31,509.45 and 9,318.30 is: 13,983.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,996.70 : 31,509.45 = 9,318.30 : x
  2. Step 2: Convert to fraction form
    20,996.70/31,509.45 = 9,318.30/x
  3. Step 3: Cross multiply
    20,996.70x = 31,509.45 × 9,318.30
  4. Step 4: Simplify right side
    20,996.70x = 293,614,507.94
  5. Step 5: Solve for x
    x = 293,614,507.94/20,996.70
  6. Step 6: Final answer
    x = 13,983.84

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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.