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Finding the Fourth Proportional to 12,027.96, 16,598.00 and 6,650.20

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Solution

The fourth proportional to 12,027.96, 16,598.00 and 6,650.20 is: 9,176.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,027.96 : 16,598.00 = 6,650.20 : x
  2. Step 2: Convert to fraction form
    12,027.96/16,598.00 = 6,650.20/x
  3. Step 3: Cross multiply
    12,027.96x = 16,598.00 × 6,650.20
  4. Step 4: Simplify right side
    12,027.96x = 110,379,903.36
  5. Step 5: Solve for x
    x = 110,379,903.36/12,027.96
  6. Step 6: Final answer
    x = 9,176.95

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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.