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Finding the Fourth Proportional to 23,031.31, 34,544.98 and 14,023.09

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Solution

The fourth proportional to 23,031.31, 34,544.98 and 14,023.09 is: 21,033.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,031.31 : 34,544.98 = 14,023.09 : x
  2. Step 2: Convert to fraction form
    23,031.31/34,544.98 = 14,023.09/x
  3. Step 3: Cross multiply
    23,031.31x = 34,544.98 × 14,023.09
  4. Step 4: Simplify right side
    23,031.31x = 484,427,120.75
  5. Step 5: Solve for x
    x = 484,427,120.75/23,031.31
  6. Step 6: Final answer
    x = 21,033.42

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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.