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Finding the Fourth Proportional to 11,817.60, 16,204.80 and 11,385.60

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Solution

The fourth proportional to 11,817.60, 16,204.80 and 11,385.60 is: 15,612.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.60 : 16,204.80 = 11,385.60 : x
  2. Step 2: Convert to fraction form
    11,817.60/16,204.80 = 11,385.60/x
  3. Step 3: Cross multiply
    11,817.60x = 16,204.80 × 11,385.60
  4. Step 4: Simplify right side
    11,817.60x = 184,501,370.88
  5. Step 5: Solve for x
    x = 184,501,370.88/11,817.60
  6. Step 6: Final answer
    x = 15,612.42

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.