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Finding the Fourth Proportional to 13,162, 19,746.12 and 3,928.24

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Solution

The fourth proportional to 13,162, 19,746.12 and 3,928.24 is: 5,893.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,162 : 19,746.12 = 3,928.24 : x
  2. Step 2: Convert to fraction form
    13,162/19,746.12 = 3,928.24/x
  3. Step 3: Cross multiply
    13,162x = 19,746.12 × 3,928.24
  4. Step 4: Simplify right side
    13,162x = 77,567,498.43
  5. Step 5: Solve for x
    x = 77,567,498.43/13,162
  6. Step 6: Final answer
    x = 5,893.29

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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.