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Finding the Fourth Proportional to 12,997.37, 19,496.05 and 5,103.61

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Solution

The fourth proportional to 12,997.37, 19,496.05 and 5,103.61 is: 7,655.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,997.37 : 19,496.05 = 5,103.61 : x
  2. Step 2: Convert to fraction form
    12,997.37/19,496.05 = 5,103.61/x
  3. Step 3: Cross multiply
    12,997.37x = 19,496.05 × 5,103.61
  4. Step 4: Simplify right side
    12,997.37x = 99,500,199.76
  5. Step 5: Solve for x
    x = 99,500,199.76/12,997.37
  6. Step 6: Final answer
    x = 7,655.41

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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.