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Finding the Fourth Proportional to 13,110.70, 18,092.73 and 7,142.42

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Solution

The fourth proportional to 13,110.70, 18,092.73 and 7,142.42 is: 9,856.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,110.70 : 18,092.73 = 7,142.42 : x
  2. Step 2: Convert to fraction form
    13,110.70/18,092.73 = 7,142.42/x
  3. Step 3: Cross multiply
    13,110.70x = 18,092.73 × 7,142.42
  4. Step 4: Simplify right side
    13,110.70x = 129,225,846.85
  5. Step 5: Solve for x
    x = 129,225,846.85/13,110.70
  6. Step 6: Final answer
    x = 9,856.52

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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.