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Finding the Fourth Proportional to 13,863.34, 20,797.06 and 5,097.56

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Solution

The fourth proportional to 13,863.34, 20,797.06 and 5,097.56 is: 7,647.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,863.34 : 20,797.06 = 5,097.56 : x
  2. Step 2: Convert to fraction form
    13,863.34/20,797.06 = 5,097.56/x
  3. Step 3: Cross multiply
    13,863.34x = 20,797.06 × 5,097.56
  4. Step 4: Simplify right side
    13,863.34x = 106,014,261.17
  5. Step 5: Solve for x
    x = 106,014,261.17/13,863.34
  6. Step 6: Final answer
    x = 7,647.09

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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.