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Finding the Fourth Proportional to 20,690.16, 31,021.88 and 9,591.14

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Solution

The fourth proportional to 20,690.16, 31,021.88 and 9,591.14 is: 14,380.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,690.16 : 31,021.88 = 9,591.14 : x
  2. Step 2: Convert to fraction form
    20,690.16/31,021.88 = 9,591.14/x
  3. Step 3: Cross multiply
    20,690.16x = 31,021.88 × 9,591.14
  4. Step 4: Simplify right side
    20,690.16x = 297,534,991.08
  5. Step 5: Solve for x
    x = 297,534,991.08/20,690.16
  6. Step 6: Final answer
    x = 14,380.51

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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.