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Finding the Fourth Proportional to 17,674.46, 24,392.43 and 10,121.39

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Solution

The fourth proportional to 17,674.46, 24,392.43 and 10,121.39 is: 13,968.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,674.46 : 24,392.43 = 10,121.39 : x
  2. Step 2: Convert to fraction form
    17,674.46/24,392.43 = 10,121.39/x
  3. Step 3: Cross multiply
    17,674.46x = 24,392.43 × 10,121.39
  4. Step 4: Simplify right side
    17,674.46x = 246,885,175.12
  5. Step 5: Solve for x
    x = 246,885,175.12/17,674.46
  6. Step 6: Final answer
    x = 13,968.47

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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.