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Finding the Fourth Proportional to 12,383.54, 18,575.10 and 4,987.82

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Solution

The fourth proportional to 12,383.54, 18,575.10 and 4,987.82 is: 7,481.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,383.54 : 18,575.10 = 4,987.82 : x
  2. Step 2: Convert to fraction form
    12,383.54/18,575.10 = 4,987.82/x
  3. Step 3: Cross multiply
    12,383.54x = 18,575.10 × 4,987.82
  4. Step 4: Simplify right side
    12,383.54x = 92,649,255.28
  5. Step 5: Solve for x
    x = 92,649,255.28/12,383.54
  6. Step 6: Final answer
    x = 7,481.65

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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.