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Finding the Fourth Proportional to 16,675.36, 25,013.08 and 6,814.64

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Solution

The fourth proportional to 16,675.36, 25,013.08 and 6,814.64 is: 10,221.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,675.36 : 25,013.08 = 6,814.64 : x
  2. Step 2: Convert to fraction form
    16,675.36/25,013.08 = 6,814.64/x
  3. Step 3: Cross multiply
    16,675.36x = 25,013.08 × 6,814.64
  4. Step 4: Simplify right side
    16,675.36x = 170,455,010.43
  5. Step 5: Solve for x
    x = 170,455,010.43/16,675.36
  6. Step 6: Final answer
    x = 10,221.97

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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.