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Finding the Fourth Proportional to 13,536.83, 20,302.92 and 3,676.91

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Solution

The fourth proportional to 13,536.83, 20,302.92 and 3,676.91 is: 5,514.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,536.83 : 20,302.92 = 3,676.91 : x
  2. Step 2: Convert to fraction form
    13,536.83/20,302.92 = 3,676.91/x
  3. Step 3: Cross multiply
    13,536.83x = 20,302.92 × 3,676.91
  4. Step 4: Simplify right side
    13,536.83x = 74,651,908.06
  5. Step 5: Solve for x
    x = 74,651,908.06/13,536.83
  6. Step 6: Final answer
    x = 5,514.72

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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.