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Finding the Fourth Proportional to 20,969.84, 31,449.92 and 9,884.24

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Solution

The fourth proportional to 20,969.84, 31,449.92 and 9,884.24 is: 14,824.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,969.84 : 31,449.92 = 9,884.24 : x
  2. Step 2: Convert to fraction form
    20,969.84/31,449.92 = 9,884.24/x
  3. Step 3: Cross multiply
    20,969.84x = 31,449.92 × 9,884.24
  4. Step 4: Simplify right side
    20,969.84x = 310,858,557.26
  5. Step 5: Solve for x
    x = 310,858,557.26/20,969.84
  6. Step 6: Final answer
    x = 14,824.08

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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.