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Finding the Fourth Proportional to 19,702.83, 27,189.91 and 12,629.27

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Solution

The fourth proportional to 19,702.83, 27,189.91 and 12,629.27 is: 17,428.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,702.83 : 27,189.91 = 12,629.27 : x
  2. Step 2: Convert to fraction form
    19,702.83/27,189.91 = 12,629.27/x
  3. Step 3: Cross multiply
    19,702.83x = 27,189.91 × 12,629.27
  4. Step 4: Simplify right side
    19,702.83x = 343,388,574.44
  5. Step 5: Solve for x
    x = 343,388,574.44/19,702.83
  6. Step 6: Final answer
    x = 17,428.39

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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.