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Finding the Fourth Proportional to 16,383.40, 22,591.24 and 11,069

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Solution

The fourth proportional to 16,383.40, 22,591.24 and 11,069 is: 15,263.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,383.40 : 22,591.24 = 11,069 : x
  2. Step 2: Convert to fraction form
    16,383.40/22,591.24 = 11,069/x
  3. Step 3: Cross multiply
    16,383.40x = 22,591.24 × 11,069
  4. Step 4: Simplify right side
    16,383.40x = 250,062,435.56
  5. Step 5: Solve for x
    x = 250,062,435.56/16,383.40
  6. Step 6: Final answer
    x = 15,263.16

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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.