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Finding the Fourth Proportional to 17,921.55, 24,731.78 and 9,964.06

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Solution

The fourth proportional to 17,921.55, 24,731.78 and 9,964.06 is: 13,750.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,921.55 : 24,731.78 = 9,964.06 : x
  2. Step 2: Convert to fraction form
    17,921.55/24,731.78 = 9,964.06/x
  3. Step 3: Cross multiply
    17,921.55x = 24,731.78 × 9,964.06
  4. Step 4: Simplify right side
    17,921.55x = 246,429,023.34
  5. Step 5: Solve for x
    x = 246,429,023.34/17,921.55
  6. Step 6: Final answer
    x = 13,750.43

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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.