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Finding the Fourth Proportional to 12,717.92, 17,541.09 and 11,143.28

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Solution

The fourth proportional to 12,717.92, 17,541.09 and 11,143.28 is: 15,369.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,717.92 : 17,541.09 = 11,143.28 : x
  2. Step 2: Convert to fraction form
    12,717.92/17,541.09 = 11,143.28/x
  3. Step 3: Cross multiply
    12,717.92x = 17,541.09 × 11,143.28
  4. Step 4: Simplify right side
    12,717.92x = 195,465,277.38
  5. Step 5: Solve for x
    x = 195,465,277.38/12,717.92
  6. Step 6: Final answer
    x = 15,369.28

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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.