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Finding the Fourth Proportional to 12,974.36, 17,898.08 and 7,593.26

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Solution

The fourth proportional to 12,974.36, 17,898.08 and 7,593.26 is: 10,474.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,974.36 : 17,898.08 = 7,593.26 : x
  2. Step 2: Convert to fraction form
    12,974.36/17,898.08 = 7,593.26/x
  3. Step 3: Cross multiply
    12,974.36x = 17,898.08 × 7,593.26
  4. Step 4: Simplify right side
    12,974.36x = 135,904,774.94
  5. Step 5: Solve for x
    x = 135,904,774.94/12,974.36
  6. Step 6: Final answer
    x = 10,474.87

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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.