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Finding the Fourth Proportional to 13,734.27, 18,953.22 and 7,446.63

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Solution

The fourth proportional to 13,734.27, 18,953.22 and 7,446.63 is: 10,276.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,734.27 : 18,953.22 = 7,446.63 : x
  2. Step 2: Convert to fraction form
    13,734.27/18,953.22 = 7,446.63/x
  3. Step 3: Cross multiply
    13,734.27x = 18,953.22 × 7,446.63
  4. Step 4: Simplify right side
    13,734.27x = 141,137,616.65
  5. Step 5: Solve for x
    x = 141,137,616.65/13,734.27
  6. Step 6: Final answer
    x = 10,276.31

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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.