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Finding the Fourth Proportional to 17,744.98, 24,488.24 and 9,787.48

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Solution

The fourth proportional to 17,744.98, 24,488.24 and 9,787.48 is: 13,506.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,744.98 : 24,488.24 = 9,787.48 : x
  2. Step 2: Convert to fraction form
    17,744.98/24,488.24 = 9,787.48/x
  3. Step 3: Cross multiply
    17,744.98x = 24,488.24 × 9,787.48
  4. Step 4: Simplify right side
    17,744.98x = 239,678,159.24
  5. Step 5: Solve for x
    x = 239,678,159.24/17,744.98
  6. Step 6: Final answer
    x = 13,506.81

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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.