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Finding the Fourth Proportional to 12,659.68, 18,976 and 6,424.32

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Solution

The fourth proportional to 12,659.68, 18,976 and 6,424.32 is: 9,629.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,659.68 : 18,976 = 6,424.32 : x
  2. Step 2: Convert to fraction form
    12,659.68/18,976 = 6,424.32/x
  3. Step 3: Cross multiply
    12,659.68x = 18,976 × 6,424.32
  4. Step 4: Simplify right side
    12,659.68x = 121,907,896.32
  5. Step 5: Solve for x
    x = 121,907,896.32/12,659.68
  6. Step 6: Final answer
    x = 9,629.62

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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.