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Finding the Fourth Proportional to 13,691.64, 20,536.92 and 9,519.36

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Solution

The fourth proportional to 13,691.64, 20,536.92 and 9,519.36 is: 14,278.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,691.64 : 20,536.92 = 9,519.36 : x
  2. Step 2: Convert to fraction form
    13,691.64/20,536.92 = 9,519.36/x
  3. Step 3: Cross multiply
    13,691.64x = 20,536.92 × 9,519.36
  4. Step 4: Simplify right side
    13,691.64x = 195,498,334.77
  5. Step 5: Solve for x
    x = 195,498,334.77/13,691.64
  6. Step 6: Final answer
    x = 14,278.66

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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.