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Finding the Fourth Proportional to 17,123.68, 25,687.16 and 6,733

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Solution

The fourth proportional to 17,123.68, 25,687.16 and 6,733 is: 10,100.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,123.68 : 25,687.16 = 6,733 : x
  2. Step 2: Convert to fraction form
    17,123.68/25,687.16 = 6,733/x
  3. Step 3: Cross multiply
    17,123.68x = 25,687.16 × 6,733
  4. Step 4: Simplify right side
    17,123.68x = 172,951,648.28
  5. Step 5: Solve for x
    x = 172,951,648.28/17,123.68
  6. Step 6: Final answer
    x = 10,100.14

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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.