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Finding the Fourth Proportional to 13,282.81, 18,329.96 and 7,314.44

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Solution

The fourth proportional to 13,282.81, 18,329.96 and 7,314.44 is: 10,093.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,282.81 : 18,329.96 = 7,314.44 : x
  2. Step 2: Convert to fraction form
    13,282.81/18,329.96 = 7,314.44/x
  3. Step 3: Cross multiply
    13,282.81x = 18,329.96 × 7,314.44
  4. Step 4: Simplify right side
    13,282.81x = 134,073,319.26
  5. Step 5: Solve for x
    x = 134,073,319.26/13,282.81
  6. Step 6: Final answer
    x = 10,093.75

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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.