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Finding the Fourth Proportional to 19,702.90, 27,193.52 and 11,745.63

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Solution

The fourth proportional to 19,702.90, 27,193.52 and 11,745.63 is: 16,211.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,702.90 : 27,193.52 = 11,745.63 : x
  2. Step 2: Convert to fraction form
    19,702.90/27,193.52 = 11,745.63/x
  3. Step 3: Cross multiply
    19,702.90x = 27,193.52 × 11,745.63
  4. Step 4: Simplify right side
    19,702.90x = 319,405,130.16
  5. Step 5: Solve for x
    x = 319,405,130.16/19,702.90
  6. Step 6: Final answer
    x = 16,211.08

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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.