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Finding the Fourth Proportional to 10,314.63, 15,472.24 and 2,523.44

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Solution

The fourth proportional to 10,314.63, 15,472.24 and 2,523.44 is: 3,785.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314.63 : 15,472.24 = 2,523.44 : x
  2. Step 2: Convert to fraction form
    10,314.63/15,472.24 = 2,523.44/x
  3. Step 3: Cross multiply
    10,314.63x = 15,472.24 × 2,523.44
  4. Step 4: Simplify right side
    10,314.63x = 39,043,269.31
  5. Step 5: Solve for x
    x = 39,043,269.31/10,314.63
  6. Step 6: Final answer
    x = 3,785.23

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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.