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Finding the Fourth Proportional to 12,107.97, 18,165.20 and 4,714.56

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Solution

The fourth proportional to 12,107.97, 18,165.20 and 4,714.56 is: 7,073.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.97 : 18,165.20 = 4,714.56 : x
  2. Step 2: Convert to fraction form
    12,107.97/18,165.20 = 4,714.56/x
  3. Step 3: Cross multiply
    12,107.97x = 18,165.20 × 4,714.56
  4. Step 4: Simplify right side
    12,107.97x = 85,640,901.74
  5. Step 5: Solve for x
    x = 85,640,901.74/12,107.97
  6. Step 6: Final answer
    x = 7,073.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.