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Finding the Fourth Proportional to 17,744.42, 24,486.92 and 9,787.38

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Solution

The fourth proportional to 17,744.42, 24,486.92 and 9,787.38 is: 13,506.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,744.42 : 24,486.92 = 9,787.38 : x
  2. Step 2: Convert to fraction form
    17,744.42/24,486.92 = 9,787.38/x
  3. Step 3: Cross multiply
    17,744.42x = 24,486.92 × 9,787.38
  4. Step 4: Simplify right side
    17,744.42x = 239,662,791.07
  5. Step 5: Solve for x
    x = 239,662,791.07/17,744.42
  6. Step 6: Final answer
    x = 13,506.38

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Why These Related Problems?

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