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Finding the Fourth Proportional to 16,678.64, 25,017.48 and 4,198.64

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Solution

The fourth proportional to 16,678.64, 25,017.48 and 4,198.64 is: 6,297.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,678.64 : 25,017.48 = 4,198.64 : x
  2. Step 2: Convert to fraction form
    16,678.64/25,017.48 = 4,198.64/x
  3. Step 3: Cross multiply
    16,678.64x = 25,017.48 × 4,198.64
  4. Step 4: Simplify right side
    16,678.64x = 105,039,392.23
  5. Step 5: Solve for x
    x = 105,039,392.23/16,678.64
  6. Step 6: Final answer
    x = 6,297.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.