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Finding the Fourth Proportional to 13,282.12, 18,329.78 and 7,314.20

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Solution

The fourth proportional to 13,282.12, 18,329.78 and 7,314.20 is: 10,093.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,282.12 : 18,329.78 = 7,314.20 : x
  2. Step 2: Convert to fraction form
    13,282.12/18,329.78 = 7,314.20/x
  3. Step 3: Cross multiply
    13,282.12x = 18,329.78 × 7,314.20
  4. Step 4: Simplify right side
    13,282.12x = 134,067,676.88
  5. Step 5: Solve for x
    x = 134,067,676.88/13,282.12
  6. Step 6: Final answer
    x = 10,093.85

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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.