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Finding the Fourth Proportional to 13,001.88, 17,942.94 and 8,031

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Solution

The fourth proportional to 13,001.88, 17,942.94 and 8,031 is: 11,082.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,001.88 : 17,942.94 = 8,031 : x
  2. Step 2: Convert to fraction form
    13,001.88/17,942.94 = 8,031/x
  3. Step 3: Cross multiply
    13,001.88x = 17,942.94 × 8,031
  4. Step 4: Simplify right side
    13,001.88x = 144,099,751.14
  5. Step 5: Solve for x
    x = 144,099,751.14/13,001.88
  6. Step 6: Final answer
    x = 11,082.99

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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.