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Finding the Fourth Proportional to 12,580.44, 17,342.28 and 8,103.30

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Solution

The fourth proportional to 12,580.44, 17,342.28 and 8,103.30 is: 11,170.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,580.44 : 17,342.28 = 8,103.30 : x
  2. Step 2: Convert to fraction form
    12,580.44/17,342.28 = 8,103.30/x
  3. Step 3: Cross multiply
    12,580.44x = 17,342.28 × 8,103.30
  4. Step 4: Simplify right side
    12,580.44x = 140,529,697.52
  5. Step 5: Solve for x
    x = 140,529,697.52/12,580.44
  6. Step 6: Final answer
    x = 11,170.49

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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.