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Finding the Fourth Proportional to 12,449.23, 17,181.86 and 7,983.63

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Solution

The fourth proportional to 12,449.23, 17,181.86 and 7,983.63 is: 11,018.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,449.23 : 17,181.86 = 7,983.63 : x
  2. Step 2: Convert to fraction form
    12,449.23/17,181.86 = 7,983.63/x
  3. Step 3: Cross multiply
    12,449.23x = 17,181.86 × 7,983.63
  4. Step 4: Simplify right side
    12,449.23x = 137,173,573.03
  5. Step 5: Solve for x
    x = 137,173,573.03/12,449.23
  6. Step 6: Final answer
    x = 11,018.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.