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Finding the Fourth Proportional to 12,109.76, 16,778.70 and 11,847.28

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Solution

The fourth proportional to 12,109.76, 16,778.70 and 11,847.28 is: 16,415.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,109.76 : 16,778.70 = 11,847.28 : x
  2. Step 2: Convert to fraction form
    12,109.76/16,778.70 = 11,847.28/x
  3. Step 3: Cross multiply
    12,109.76x = 16,778.70 × 11,847.28
  4. Step 4: Simplify right side
    12,109.76x = 198,781,956.94
  5. Step 5: Solve for x
    x = 198,781,956.94/12,109.76
  6. Step 6: Final answer
    x = 16,415.02

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.