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Finding the Fourth Proportional to 11,905.41, 16,392.06 and 10,109.15

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Solution

The fourth proportional to 11,905.41, 16,392.06 and 10,109.15 is: 13,918.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,905.41 : 16,392.06 = 10,109.15 : x
  2. Step 2: Convert to fraction form
    11,905.41/16,392.06 = 10,109.15/x
  3. Step 3: Cross multiply
    11,905.41x = 16,392.06 × 10,109.15
  4. Step 4: Simplify right side
    11,905.41x = 165,709,793.35
  5. Step 5: Solve for x
    x = 165,709,793.35/11,905.41
  6. Step 6: Final answer
    x = 13,918.86

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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.