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Finding the Fourth Proportional to 13,282.96, 18,329.89 and 7,613.64

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Solution

The fourth proportional to 13,282.96, 18,329.89 and 7,613.64 is: 10,506.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,282.96 : 18,329.89 = 7,613.64 : x
  2. Step 2: Convert to fraction form
    13,282.96/18,329.89 = 7,613.64/x
  3. Step 3: Cross multiply
    13,282.96x = 18,329.89 × 7,613.64
  4. Step 4: Simplify right side
    13,282.96x = 139,557,145.63
  5. Step 5: Solve for x
    x = 139,557,145.63/13,282.96
  6. Step 6: Final answer
    x = 10,506.48

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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.