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Finding the Fourth Proportional to 19,553.38, 26,971.71 and 11,590.27

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Solution

The fourth proportional to 19,553.38, 26,971.71 and 11,590.27 is: 15,987.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,553.38 : 26,971.71 = 11,590.27 : x
  2. Step 2: Convert to fraction form
    19,553.38/26,971.71 = 11,590.27/x
  3. Step 3: Cross multiply
    19,553.38x = 26,971.71 × 11,590.27
  4. Step 4: Simplify right side
    19,553.38x = 312,609,401.26
  5. Step 5: Solve for x
    x = 312,609,401.26/19,553.38
  6. Step 6: Final answer
    x = 15,987.49

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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.