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Finding the Fourth Proportional to 16,814, 25,221.04 and 5,127.36

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Solution

The fourth proportional to 16,814, 25,221.04 and 5,127.36 is: 7,691.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,814 : 25,221.04 = 5,127.36 : x
  2. Step 2: Convert to fraction form
    16,814/25,221.04 = 5,127.36/x
  3. Step 3: Cross multiply
    16,814x = 25,221.04 × 5,127.36
  4. Step 4: Simplify right side
    16,814x = 129,317,351.65
  5. Step 5: Solve for x
    x = 129,317,351.65/16,814
  6. Step 6: Final answer
    x = 7,691.05

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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.