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Finding the Fourth Proportional to 13,175.31, 18,181.54 and 7,206.85

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Solution

The fourth proportional to 13,175.31, 18,181.54 and 7,206.85 is: 9,945.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,175.31 : 18,181.54 = 7,206.85 : x
  2. Step 2: Convert to fraction form
    13,175.31/18,181.54 = 7,206.85/x
  3. Step 3: Cross multiply
    13,175.31x = 18,181.54 × 7,206.85
  4. Step 4: Simplify right side
    13,175.31x = 131,031,631.55
  5. Step 5: Solve for x
    x = 131,031,631.55/13,175.31
  6. Step 6: Final answer
    x = 9,945.24

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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.