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Finding the Fourth Proportional to 17,921.68, 24,731.28 and 9,964.24

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Solution

The fourth proportional to 17,921.68, 24,731.28 and 9,964.24 is: 13,750.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,921.68 : 24,731.28 = 9,964.24 : x
  2. Step 2: Convert to fraction form
    17,921.68/24,731.28 = 9,964.24/x
  3. Step 3: Cross multiply
    17,921.68x = 24,731.28 × 9,964.24
  4. Step 4: Simplify right side
    17,921.68x = 246,428,409.43
  5. Step 5: Solve for x
    x = 246,428,409.43/17,921.68
  6. Step 6: Final answer
    x = 13,750.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.