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Finding the Fourth Proportional to 13,044.85, 19,640.48 and 11,494.51

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Solution

The fourth proportional to 13,044.85, 19,640.48 and 11,494.51 is: 17,306.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,044.85 : 19,640.48 = 11,494.51 : x
  2. Step 2: Convert to fraction form
    13,044.85/19,640.48 = 11,494.51/x
  3. Step 3: Cross multiply
    13,044.85x = 19,640.48 × 11,494.51
  4. Step 4: Simplify right side
    13,044.85x = 225,757,587.19
  5. Step 5: Solve for x
    x = 225,757,587.19/13,044.85
  6. Step 6: Final answer
    x = 17,306.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.