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Finding the Fourth Proportional to 14,198.49, 21,308.67 and 6,412.77

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Solution

The fourth proportional to 14,198.49, 21,308.67 and 6,412.77 is: 9,624.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,198.49 : 21,308.67 = 6,412.77 : x
  2. Step 2: Convert to fraction form
    14,198.49/21,308.67 = 6,412.77/x
  3. Step 3: Cross multiply
    14,198.49x = 21,308.67 × 6,412.77
  4. Step 4: Simplify right side
    14,198.49x = 136,647,599.72
  5. Step 5: Solve for x
    x = 136,647,599.72/14,198.49
  6. Step 6: Final answer
    x = 9,624.09

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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.