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Finding the Fourth Proportional to 19,702.74, 27,189.77 and 12,629.16

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Solution

The fourth proportional to 19,702.74, 27,189.77 and 12,629.16 is: 17,428.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,702.74 : 27,189.77 = 12,629.16 : x
  2. Step 2: Convert to fraction form
    19,702.74/27,189.77 = 12,629.16/x
  3. Step 3: Cross multiply
    19,702.74x = 27,189.77 × 12,629.16
  4. Step 4: Simplify right side
    19,702.74x = 343,383,819.74
  5. Step 5: Solve for x
    x = 343,383,819.74/19,702.74
  6. Step 6: Final answer
    x = 17,428.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.