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Finding the Fourth Proportional to 20,991.02, 31,481.06 and 9,894.76

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Solution

The fourth proportional to 20,991.02, 31,481.06 and 9,894.76 is: 14,839.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,991.02 : 31,481.06 = 9,894.76 : x
  2. Step 2: Convert to fraction form
    20,991.02/31,481.06 = 9,894.76/x
  3. Step 3: Cross multiply
    20,991.02x = 31,481.06 × 9,894.76
  4. Step 4: Simplify right side
    20,991.02x = 311,497,405.07
  5. Step 5: Solve for x
    x = 311,497,405.07/20,991.02
  6. Step 6: Final answer
    x = 14,839.56

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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.