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Finding the Fourth Proportional to 14,171.36, 21,257.08 and 6,774.14

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Solution

The fourth proportional to 14,171.36, 21,257.08 and 6,774.14 is: 10,161.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,171.36 : 21,257.08 = 6,774.14 : x
  2. Step 2: Convert to fraction form
    14,171.36/21,257.08 = 6,774.14/x
  3. Step 3: Cross multiply
    14,171.36x = 21,257.08 × 6,774.14
  4. Step 4: Simplify right side
    14,171.36x = 143,998,435.91
  5. Step 5: Solve for x
    x = 143,998,435.91/14,171.36
  6. Step 6: Final answer
    x = 10,161.23

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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.