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Finding the Fourth Proportional to 11,920.02, 17,876.16 and 11,143.50

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Solution

The fourth proportional to 11,920.02, 17,876.16 and 11,143.50 is: 16,711.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,920.02 : 17,876.16 = 11,143.50 : x
  2. Step 2: Convert to fraction form
    11,920.02/17,876.16 = 11,143.50/x
  3. Step 3: Cross multiply
    11,920.02x = 17,876.16 × 11,143.50
  4. Step 4: Simplify right side
    11,920.02x = 199,202,988.96
  5. Step 5: Solve for x
    x = 199,202,988.96/11,920.02
  6. Step 6: Final answer
    x = 16,711.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.