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Finding the Fourth Proportional to 13,536.63, 20,306.16 and 3,675.96

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Solution

The fourth proportional to 13,536.63, 20,306.16 and 3,675.96 is: 5,514.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,536.63 : 20,306.16 = 3,675.96 : x
  2. Step 2: Convert to fraction form
    13,536.63/20,306.16 = 3,675.96/x
  3. Step 3: Cross multiply
    13,536.63x = 20,306.16 × 3,675.96
  4. Step 4: Simplify right side
    13,536.63x = 74,644,631.91
  5. Step 5: Solve for x
    x = 74,644,631.91/13,536.63
  6. Step 6: Final answer
    x = 5,514.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.