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Finding the Fourth Proportional to 14,138.93, 21,175.89 and 8,201.12

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Solution

The fourth proportional to 14,138.93, 21,175.89 and 8,201.12 is: 12,282.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,138.93 : 21,175.89 = 8,201.12 : x
  2. Step 2: Convert to fraction form
    14,138.93/21,175.89 = 8,201.12/x
  3. Step 3: Cross multiply
    14,138.93x = 21,175.89 × 8,201.12
  4. Step 4: Simplify right side
    14,138.93x = 173,665,909.12
  5. Step 5: Solve for x
    x = 173,665,909.12/14,138.93
  6. Step 6: Final answer
    x = 12,282.82

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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.