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Finding the Fourth Proportional to 11,917.14, 16,431.63 and 9,671.94

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Solution

The fourth proportional to 11,917.14, 16,431.63 and 9,671.94 is: 13,335.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,917.14 : 16,431.63 = 9,671.94 : x
  2. Step 2: Convert to fraction form
    11,917.14/16,431.63 = 9,671.94/x
  3. Step 3: Cross multiply
    11,917.14x = 16,431.63 × 9,671.94
  4. Step 4: Simplify right side
    11,917.14x = 158,925,739.46
  5. Step 5: Solve for x
    x = 158,925,739.46/11,917.14
  6. Step 6: Final answer
    x = 13,335.90

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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.