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Finding the Fourth Proportional to 12,077.96, 16,659.15 and 11,671.54

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Solution

The fourth proportional to 12,077.96, 16,659.15 and 11,671.54 is: 16,098.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,077.96 : 16,659.15 = 11,671.54 : x
  2. Step 2: Convert to fraction form
    12,077.96/16,659.15 = 11,671.54/x
  3. Step 3: Cross multiply
    12,077.96x = 16,659.15 × 11,671.54
  4. Step 4: Simplify right side
    12,077.96x = 194,437,956.41
  5. Step 5: Solve for x
    x = 194,437,956.41/12,077.96
  6. Step 6: Final answer
    x = 16,098.58

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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.