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Finding the Fourth Proportional to 17,392.84, 24,005.92 and 10,682

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Solution

The fourth proportional to 17,392.84, 24,005.92 and 10,682 is: 14,743.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,392.84 : 24,005.92 = 10,682 : x
  2. Step 2: Convert to fraction form
    17,392.84/24,005.92 = 10,682/x
  3. Step 3: Cross multiply
    17,392.84x = 24,005.92 × 10,682
  4. Step 4: Simplify right side
    17,392.84x = 256,431,237.44
  5. Step 5: Solve for x
    x = 256,431,237.44/17,392.84
  6. Step 6: Final answer
    x = 14,743.49

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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.