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Finding the Fourth Proportional to 16,262.64, 22,439.50 and 9,092.68

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Solution

The fourth proportional to 16,262.64, 22,439.50 and 9,092.68 is: 12,546.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,262.64 : 22,439.50 = 9,092.68 : x
  2. Step 2: Convert to fraction form
    16,262.64/22,439.50 = 9,092.68/x
  3. Step 3: Cross multiply
    16,262.64x = 22,439.50 × 9,092.68
  4. Step 4: Simplify right side
    16,262.64x = 204,035,114.03
  5. Step 5: Solve for x
    x = 204,035,114.03/16,262.64
  6. Step 6: Final answer
    x = 12,546.25

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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.