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Finding the Fourth Proportional to 13,174.12, 18,180.74 and 7,206.16

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Solution

The fourth proportional to 13,174.12, 18,180.74 and 7,206.16 is: 9,944.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,174.12 : 18,180.74 = 7,206.16 : x
  2. Step 2: Convert to fraction form
    13,174.12/18,180.74 = 7,206.16/x
  3. Step 3: Cross multiply
    13,174.12x = 18,180.74 × 7,206.16
  4. Step 4: Simplify right side
    13,174.12x = 131,013,321.36
  5. Step 5: Solve for x
    x = 131,013,321.36/13,174.12
  6. Step 6: Final answer
    x = 9,944.75

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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.