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Finding the Fourth Proportional to 14,714.88, 20,305 and 8,745.40

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Solution

The fourth proportional to 14,714.88, 20,305 and 8,745.40 is: 12,067.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,714.88 : 20,305 = 8,745.40 : x
  2. Step 2: Convert to fraction form
    14,714.88/20,305 = 8,745.40/x
  3. Step 3: Cross multiply
    14,714.88x = 20,305 × 8,745.40
  4. Step 4: Simplify right side
    14,714.88x = 177,575,347
  5. Step 5: Solve for x
    x = 177,575,347/14,714.88
  6. Step 6: Final answer
    x = 12,067.74

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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.