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Finding the Fourth Proportional to 11,994.68, 17,871.42 and 11,324

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Solution

The fourth proportional to 11,994.68, 17,871.42 and 11,324 is: 16,872.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,994.68 : 17,871.42 = 11,324 : x
  2. Step 2: Convert to fraction form
    11,994.68/17,871.42 = 11,324/x
  3. Step 3: Cross multiply
    11,994.68x = 17,871.42 × 11,324
  4. Step 4: Simplify right side
    11,994.68x = 202,375,960.08
  5. Step 5: Solve for x
    x = 202,375,960.08/11,994.68
  6. Step 6: Final answer
    x = 16,872.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.