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Finding the Fourth Proportional to 13,142.74, 18,137.41 and 7,174.73

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Solution

The fourth proportional to 13,142.74, 18,137.41 and 7,174.73 is: 9,901.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,142.74 : 18,137.41 = 7,174.73 : x
  2. Step 2: Convert to fraction form
    13,142.74/18,137.41 = 7,174.73/x
  3. Step 3: Cross multiply
    13,142.74x = 18,137.41 × 7,174.73
  4. Step 4: Simplify right side
    13,142.74x = 130,130,911.03
  5. Step 5: Solve for x
    x = 130,130,911.03/13,142.74
  6. Step 6: Final answer
    x = 9,901.36

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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.