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Finding the Fourth Proportional to 11,822.96, 16,321.60 and 9,164.40

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Solution

The fourth proportional to 11,822.96, 16,321.60 and 9,164.40 is: 12,651.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,822.96 : 16,321.60 = 9,164.40 : x
  2. Step 2: Convert to fraction form
    11,822.96/16,321.60 = 9,164.40/x
  3. Step 3: Cross multiply
    11,822.96x = 16,321.60 × 9,164.40
  4. Step 4: Simplify right side
    11,822.96x = 149,577,671.04
  5. Step 5: Solve for x
    x = 149,577,671.04/11,822.96
  6. Step 6: Final answer
    x = 12,651.46

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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.