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Finding the Fourth Proportional to 19,702.82, 27,190.41 and 12,047.24

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Solution

The fourth proportional to 19,702.82, 27,190.41 and 12,047.24 is: 16,625.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,702.82 : 27,190.41 = 12,047.24 : x
  2. Step 2: Convert to fraction form
    19,702.82/27,190.41 = 12,047.24/x
  3. Step 3: Cross multiply
    19,702.82x = 27,190.41 × 12,047.24
  4. Step 4: Simplify right side
    19,702.82x = 327,569,394.97
  5. Step 5: Solve for x
    x = 327,569,394.97/19,702.82
  6. Step 6: Final answer
    x = 16,625.51

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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.