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Finding the Fourth Proportional to 14,431.87, 19,917.62 and 8,143.75

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Solution

The fourth proportional to 14,431.87, 19,917.62 and 8,143.75 is: 11,239.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,431.87 : 19,917.62 = 8,143.75 : x
  2. Step 2: Convert to fraction form
    14,431.87/19,917.62 = 8,143.75/x
  3. Step 3: Cross multiply
    14,431.87x = 19,917.62 × 8,143.75
  4. Step 4: Simplify right side
    14,431.87x = 162,204,117.88
  5. Step 5: Solve for x
    x = 162,204,117.88/14,431.87
  6. Step 6: Final answer
    x = 11,239.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.