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Finding the Fourth Proportional to 11,914.89, 16,409.25 and 11,656.61

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Solution

The fourth proportional to 11,914.89, 16,409.25 and 11,656.61 is: 16,053.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,914.89 : 16,409.25 = 11,656.61 : x
  2. Step 2: Convert to fraction form
    11,914.89/16,409.25 = 11,656.61/x
  3. Step 3: Cross multiply
    11,914.89x = 16,409.25 × 11,656.61
  4. Step 4: Simplify right side
    11,914.89x = 191,276,145.60
  5. Step 5: Solve for x
    x = 191,276,145.60/11,914.89
  6. Step 6: Final answer
    x = 16,053.54

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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.