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Finding the Fourth Proportional to 14,167.75, 21,252.84 and 6,778.12

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Solution

The fourth proportional to 14,167.75, 21,252.84 and 6,778.12 is: 10,167.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,167.75 : 21,252.84 = 6,778.12 : x
  2. Step 2: Convert to fraction form
    14,167.75/21,252.84 = 6,778.12/x
  3. Step 3: Cross multiply
    14,167.75x = 21,252.84 × 6,778.12
  4. Step 4: Simplify right side
    14,167.75x = 144,054,299.86
  5. Step 5: Solve for x
    x = 144,054,299.86/14,167.75
  6. Step 6: Final answer
    x = 10,167.76

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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.