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Finding the Fourth Proportional to 13,172.32, 19,758.86 and 5,772.96

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Solution

The fourth proportional to 13,172.32, 19,758.86 and 5,772.96 is: 8,659.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,172.32 : 19,758.86 = 5,772.96 : x
  2. Step 2: Convert to fraction form
    13,172.32/19,758.86 = 5,772.96/x
  3. Step 3: Cross multiply
    13,172.32x = 19,758.86 × 5,772.96
  4. Step 4: Simplify right side
    13,172.32x = 114,067,108.43
  5. Step 5: Solve for x
    x = 114,067,108.43/13,172.32
  6. Step 6: Final answer
    x = 8,659.61

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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.