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Finding the Fourth Proportional to 17,734.44, 24,474.78 and 10,182

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Solution

The fourth proportional to 17,734.44, 24,474.78 and 10,182 is: 14,051.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,734.44 : 24,474.78 = 10,182 : x
  2. Step 2: Convert to fraction form
    17,734.44/24,474.78 = 10,182/x
  3. Step 3: Cross multiply
    17,734.44x = 24,474.78 × 10,182
  4. Step 4: Simplify right side
    17,734.44x = 249,202,209.96
  5. Step 5: Solve for x
    x = 249,202,209.96/17,734.44
  6. Step 6: Final answer
    x = 14,051.88

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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.