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Finding the Fourth Proportional to 13,175.01, 18,181.31 and 7,206.57

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Solution

The fourth proportional to 13,175.01, 18,181.31 and 7,206.57 is: 9,944.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,175.01 : 18,181.31 = 7,206.57 : x
  2. Step 2: Convert to fraction form
    13,175.01/18,181.31 = 7,206.57/x
  3. Step 3: Cross multiply
    13,175.01x = 18,181.31 × 7,206.57
  4. Step 4: Simplify right side
    13,175.01x = 131,024,847.17
  5. Step 5: Solve for x
    x = 131,024,847.17/13,175.01
  6. Step 6: Final answer
    x = 9,944.95

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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.