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Finding the Fourth Proportional to 16,418.64, 22,654.08 and 9,704.52

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Solution

The fourth proportional to 16,418.64, 22,654.08 and 9,704.52 is: 13,390.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,418.64 : 22,654.08 = 9,704.52 : x
  2. Step 2: Convert to fraction form
    16,418.64/22,654.08 = 9,704.52/x
  3. Step 3: Cross multiply
    16,418.64x = 22,654.08 × 9,704.52
  4. Step 4: Simplify right side
    16,418.64x = 219,846,972.44
  5. Step 5: Solve for x
    x = 219,846,972.44/16,418.64
  6. Step 6: Final answer
    x = 13,390.08

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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.