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Finding the Fourth Proportional to 13,175.82, 18,182.90 and 7,207.88

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Solution

The fourth proportional to 13,175.82, 18,182.90 and 7,207.88 is: 9,947.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,175.82 : 18,182.90 = 7,207.88 : x
  2. Step 2: Convert to fraction form
    13,175.82/18,182.90 = 7,207.88/x
  3. Step 3: Cross multiply
    13,175.82x = 18,182.90 × 7,207.88
  4. Step 4: Simplify right side
    13,175.82x = 131,060,161.25
  5. Step 5: Solve for x
    x = 131,060,161.25/13,175.82
  6. Step 6: Final answer
    x = 9,947.02

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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.