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Finding the Fourth Proportional to 13,694.68, 20,534.14 and 5,364.96

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Solution

The fourth proportional to 13,694.68, 20,534.14 and 5,364.96 is: 8,044.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,694.68 : 20,534.14 = 5,364.96 : x
  2. Step 2: Convert to fraction form
    13,694.68/20,534.14 = 5,364.96/x
  3. Step 3: Cross multiply
    13,694.68x = 20,534.14 × 5,364.96
  4. Step 4: Simplify right side
    13,694.68x = 110,164,839.73
  5. Step 5: Solve for x
    x = 110,164,839.73/13,694.68
  6. Step 6: Final answer
    x = 8,044.35

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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.