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Finding the Fourth Proportional to 13,171.35, 19,757.04 and 5,380.16

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Solution

The fourth proportional to 13,171.35, 19,757.04 and 5,380.16 is: 8,070.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,171.35 : 19,757.04 = 5,380.16 : x
  2. Step 2: Convert to fraction form
    13,171.35/19,757.04 = 5,380.16/x
  3. Step 3: Cross multiply
    13,171.35x = 19,757.04 × 5,380.16
  4. Step 4: Simplify right side
    13,171.35x = 106,296,036.33
  5. Step 5: Solve for x
    x = 106,296,036.33/13,171.35
  6. Step 6: Final answer
    x = 8,070.25

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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.