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Finding the Fourth Proportional to 19,699.26, 27,174.72 and 12,897.18

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Solution

The fourth proportional to 19,699.26, 27,174.72 and 12,897.18 is: 17,791.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,699.26 : 27,174.72 = 12,897.18 : x
  2. Step 2: Convert to fraction form
    19,699.26/27,174.72 = 12,897.18/x
  3. Step 3: Cross multiply
    19,699.26x = 27,174.72 × 12,897.18
  4. Step 4: Simplify right side
    19,699.26x = 350,477,255.29
  5. Step 5: Solve for x
    x = 350,477,255.29/19,699.26
  6. Step 6: Final answer
    x = 17,791.39

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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.