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Finding the Fourth Proportional to 21,165.57, 29,205.36 and 11,734.20

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Solution

The fourth proportional to 21,165.57, 29,205.36 and 11,734.20 is: 16,191.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,165.57 : 29,205.36 = 11,734.20 : x
  2. Step 2: Convert to fraction form
    21,165.57/29,205.36 = 11,734.20/x
  3. Step 3: Cross multiply
    21,165.57x = 29,205.36 × 11,734.20
  4. Step 4: Simplify right side
    21,165.57x = 342,701,535.31
  5. Step 5: Solve for x
    x = 342,701,535.31/21,165.57
  6. Step 6: Final answer
    x = 16,191.46

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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.