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Finding the Fourth Proportional to 12,198.34, 16,832.10 and 7,714.18

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Solution

The fourth proportional to 12,198.34, 16,832.10 and 7,714.18 is: 10,644.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.34 : 16,832.10 = 7,714.18 : x
  2. Step 2: Convert to fraction form
    12,198.34/16,832.10 = 7,714.18/x
  3. Step 3: Cross multiply
    12,198.34x = 16,832.10 × 7,714.18
  4. Step 4: Simplify right side
    12,198.34x = 129,845,849.18
  5. Step 5: Solve for x
    x = 129,845,849.18/12,198.34
  6. Step 6: Final answer
    x = 10,644.55

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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.