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Finding the Fourth Proportional to 13,502.42, 18,633.20 and 7,452.73

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Solution

The fourth proportional to 13,502.42, 18,633.20 and 7,452.73 is: 10,284.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502.42 : 18,633.20 = 7,452.73 : x
  2. Step 2: Convert to fraction form
    13,502.42/18,633.20 = 7,452.73/x
  3. Step 3: Cross multiply
    13,502.42x = 18,633.20 × 7,452.73
  4. Step 4: Simplify right side
    13,502.42x = 138,868,208.64
  5. Step 5: Solve for x
    x = 138,868,208.64/13,502.42
  6. Step 6: Final answer
    x = 10,284.69

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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.