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Finding the Fourth Proportional to 13,103.17, 19,654.71 and 5,311.96

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Solution

The fourth proportional to 13,103.17, 19,654.71 and 5,311.96 is: 7,967.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,103.17 : 19,654.71 = 5,311.96 : x
  2. Step 2: Convert to fraction form
    13,103.17/19,654.71 = 5,311.96/x
  3. Step 3: Cross multiply
    13,103.17x = 19,654.71 × 5,311.96
  4. Step 4: Simplify right side
    13,103.17x = 104,405,033.33
  5. Step 5: Solve for x
    x = 104,405,033.33/13,103.17
  6. Step 6: Final answer
    x = 7,967.92

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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.