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Finding the Fourth Proportional to 12,578.64, 17,353.56 and 8,105.01

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Solution

The fourth proportional to 12,578.64, 17,353.56 and 8,105.01 is: 11,181.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578.64 : 17,353.56 = 8,105.01 : x
  2. Step 2: Convert to fraction form
    12,578.64/17,353.56 = 8,105.01/x
  3. Step 3: Cross multiply
    12,578.64x = 17,353.56 × 8,105.01
  4. Step 4: Simplify right side
    12,578.64x = 140,650,777.34
  5. Step 5: Solve for x
    x = 140,650,777.34/12,578.64
  6. Step 6: Final answer
    x = 11,181.72

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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.