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Finding the Fourth Proportional to 20,991.62, 31,494.72 and 9,313.04

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Solution

The fourth proportional to 20,991.62, 31,494.72 and 9,313.04 is: 13,972.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,991.62 : 31,494.72 = 9,313.04 : x
  2. Step 2: Convert to fraction form
    20,991.62/31,494.72 = 9,313.04/x
  3. Step 3: Cross multiply
    20,991.62x = 31,494.72 × 9,313.04
  4. Step 4: Simplify right side
    20,991.62x = 293,311,587.15
  5. Step 5: Solve for x
    x = 293,311,587.15/20,991.62
  6. Step 6: Final answer
    x = 13,972.79

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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.