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Finding the Fourth Proportional to 16,436.64, 22,701.42 and 11,980.30

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Solution

The fourth proportional to 16,436.64, 22,701.42 and 11,980.30 is: 16,546.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,436.64 : 22,701.42 = 11,980.30 : x
  2. Step 2: Convert to fraction form
    16,436.64/22,701.42 = 11,980.30/x
  3. Step 3: Cross multiply
    16,436.64x = 22,701.42 × 11,980.30
  4. Step 4: Simplify right side
    16,436.64x = 271,969,822.03
  5. Step 5: Solve for x
    x = 271,969,822.03/16,436.64
  6. Step 6: Final answer
    x = 16,546.56

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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.