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Finding the Fourth Proportional to 21,145.92, 31,684.86 and 13,768.44

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Solution

The fourth proportional to 21,145.92, 31,684.86 and 13,768.44 is: 20,630.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,145.92 : 31,684.86 = 13,768.44 : x
  2. Step 2: Convert to fraction form
    21,145.92/31,684.86 = 13,768.44/x
  3. Step 3: Cross multiply
    21,145.92x = 31,684.86 × 13,768.44
  4. Step 4: Simplify right side
    21,145.92x = 436,251,093.82
  5. Step 5: Solve for x
    x = 436,251,093.82/21,145.92
  6. Step 6: Final answer
    x = 20,630.51

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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.